5

Condense "34 iogs 2x problem. the expression Aoo2 " Lode2+ using the bscys' loga propertios log3 ogs. The word log will be used @nce each loga 5 + l...

Question

Condense "34 iogs 2x problem. the expression Aoo2 " Lode2+ using the bscys' loga propertios log3 ogs. The word log will be used @nce each loga 5 + loga 1ogs logs 3 loga _log1ologz x - 3 logz %log10-logalogalogalogz X ~ 2 logs yloga 6loga3loga '

condense "34 iogs 2x problem. the expression Aoo2 " Lode2+ using the bscys' loga propertios log3 ogs. The word log will be used @nce each loga 5 + loga 1ogs logs 3 loga _ log1o logz x - 3 logz % log10- loga loga loga logz X ~ 2 logs y loga 6 loga 3loga '



Answers

Condensing a Logarithmic Expression Condense the expression to the logarithm of a single quantity. $$3 \ln 4-\frac{1}{3} \ln \left(x^{2}+3\right)$$

So we're undoing the law of logs in this problem, and we're starting to log based three or four minus log based three of two. Now, it's very important that you undo the, uh I guess the coefficients in front, uh, and turn them into exponents. Eso What we're looking at that is that this is equal to log based three. Now. You don't need parentheses. It's implied, but it's four squared, minus log based three of two. Now, if I were doing this problem, I would square the number first. I don't know, just a habit of mine. So looking at log base, three of four squared four times for 16 minus log based, three of two. And now we can use the law of logs that when we are subtracting, uh, we divide these two numbers so subtraction tells us to divide, and then we can write it as a single log log base. Three of 16 divided by two. Well, hey, I know that 16 divided by two is eight to this answer would be a long based three of eight, and that's all we can do. Anything beyond that would need a calculator

Way have a constant in terms with the lock place. I am the X. And then we can bring the constant magnitude of power there. We're gonna lock place. I am the expo. And this question were given the do lock place to off the expressed three and then by a Blinder formula. We can bring the judicial power here. They're gonna lock with you under X Plus three. I want you.

In this problem. Off law rhythm. We have given three long eggs. Base tree plus four log wide base tree and minus four logs. Ed minus four Logs that basically. And now we have toe Write it in the condensed form. So this can return is log. He had X Q with the power rule. This one, we're basically And here this will be love. Why? With base tree minus log. Here, basically is that toe the powerful and now here from the product. Rude and the cushion rule applying at the same time. So this will be law based three plus, so this will be in product. So this will be X cube. Why? And now this is minus. So this will be in the denominator. That is that to the power for So this is the required reduced form off the logarithms. Yeah,

In this problem, we are going to use properties of logarithms to write this law, algorithmic expression as one log rhythm. Okay, the first thing we're going to do is use are powering property to bump the three up is the power on the X. The four up is a power on the Y. And this four up is a power on the Z. So our next step would say log base three effects to the third Power plus long based three of Y. Yeah. To the 4th power -6 Base three of Z To the 4th. Power. Okay, next we're going to combine these two books. We're going to combine these two years in the product property. When we have the sum of logarithms, we can rewrite it as the log rhythm of the product. So we have a blog based three of X cube Y to the fourth minus Blog based three of Z to the 4th. Now, since we have a difference, we can rewrite this as one log rhythm of the quotient of these two numbers. So this will be equal to log base three of X cubed Y to the fourth, the stray mark there. Mhm Over Z to the 4th power. And this is our condensed version of this log rhythmic expression.


Similar Solved Questions

5 answers
A conical pendulum is formed by attaching a 500 gram ball to a 1.0 meter long string; then allowing the mass to move in a horizontal circle of radius 20 cm Point of support What is the tension in the string?(b) What is the ball'$ angular speed in rpm?1.0 mThe top of the pole is 2 meters above the ground. If the rope suddenly breaks, how far away from the base of the pole will the ball land?
A conical pendulum is formed by attaching a 500 gram ball to a 1.0 meter long string; then allowing the mass to move in a horizontal circle of radius 20 cm Point of support What is the tension in the string? (b) What is the ball'$ angular speed in rpm? 1.0 m The top of the pole is 2 meters abov...
5 answers
(c) _" +4 = f6) = { 202 <1 121
(c) _" +4 = f6) = { 2 02 <1 121...
5 answers
Question 2 (1 point)Unpolarized light can be polarized by which of the following: CHECK ALL THAT APPLY:changing the index of refraction of the media in which the light is travelingreflectionabsorptiondiffraction
Question 2 (1 point) Unpolarized light can be polarized by which of the following: CHECK ALL THAT APPLY: changing the index of refraction of the media in which the light is traveling reflection absorption diffraction...
5 answers
6 1 2222 3 58 IFH { L 1 1 5 8 8 8 1 8 82 Ji 1 W 1 1 1 1 1 8 7 1 1 } 8 { V 3 Hi 1 4 # { 1 3 [ 3 LW pi 8 { 9 8 & 7 JL [ 3 8
6 1 2222 3 58 IFH { L 1 1 5 8 8 8 1 8 82 Ji 1 W 1 1 1 1 1 8 7 1 1 } 8 { V 3 Hi 1 4 # { 1 3 [ 3 LW pi 8 { 9 8 & 7 JL [ 3 8...
4 answers
JP(x) dx dx_ Y12(x)The indicated function Yi(x) is solution of the given equation_ Use reduction of order or this formula, Yz = Yi(x)instructed_ to find second solution Yz(x) Y = 0; Y1 = cosh XeBook
JP(x) dx dx_ Y12(x) The indicated function Yi(x) is solution of the given equation_ Use reduction of order or this formula, Yz = Yi(x) instructed_ to find second solution Yz(x) Y = 0; Y1 = cosh X eBook...
5 answers
12. Wich reaclion creates stereocenters at two carbon atoms?addn1) Oz2) ZnBlzHzPo13 Which of the following transition structures represents an Sv1 event?CH;NC
12. Wich reaclion creates stereocenters at two carbon atoms? addn 1) Oz 2) Zn Blz HzPo 13 Which of the following transition structures represents an Sv1 event? CH; NC...
4 answers
17 At what 8$ does the cardioid r =[+cos € have infnite slope? Which points are furthest to the left (minimum x)? 18 Apply the chain rule dyldx = (dy/de)(dx/d0) {o X = F(8) cos 0, y = F(8) sin &. Simplify to reach dy F + tan 0 dFido dx F tan 0 + dFjde
17 At what 8$ does the cardioid r =[+cos € have infnite slope? Which points are furthest to the left (minimum x)? 18 Apply the chain rule dyldx = (dy/de)(dx/d0) {o X = F(8) cos 0, y = F(8) sin &. Simplify to reach dy F + tan 0 dFido dx F tan 0 + dFjde...
5 answers
Version CC1OOON/m: Initially, the spring is stretched by a Skg block is attached to spring of spring constant until the spring compressed by distance of equilibrium: The block is pushed distance of 0.2m from in spring potential energy AU;? 0.25m from equilibrium: What is the change 13] 11] 31 ] 51J ~ ` * -51]
Version CC 1OOON/m: Initially, the spring is stretched by a Skg block is attached to spring of spring constant until the spring compressed by distance of equilibrium: The block is pushed distance of 0.2m from in spring potential energy AU;? 0.25m from equilibrium: What is the change 13] 11] 31 ] 51...
4 answers
Deterrnine the enolates formed from each of the following conditions and provide an explanation for each one.NahLDA -78 FCWhat Is the main advantage of enolate formation using LDA over H3O*? Predict the products for the following transformations_SOClz PyTOH(CHS)NHNaOH (xs)Brz (*s)cOzHEtOH, H;o'2. NHj POCI}Predict the product &nd provide a mechanism for the following reaction _ CN H;o
Deterrnine the enolates formed from each of the following conditions and provide an explanation for each one. Nah LDA -78 FC What Is the main advantage of enolate formation using LDA over H3O*? Predict the products for the following transformations_ SOClz PyT OH (CHS)NH NaOH (xs) Brz (*s) cOzH EtOH,...
5 answers
Let X and Y be two ranclom variables with joint dlensityk(ry + 4), fxx(r,u) =0 <I <10<y < 2 otherwiscfor SOIC constant k.points) What is value of k points) What is the marginal density of Y? 6 poiuts) Calculate Cov(X,Y) (Hint: Find E(X) E(Y) and E(XY))
Let X and Y be two ranclom variables with joint dlensity k(ry + 4), fxx(r,u) = 0 <I <10<y < 2 otherwisc for SOIC constant k. points) What is value of k points) What is the marginal density of Y? 6 poiuts) Calculate Cov(X,Y) (Hint: Find E(X) E(Y) and E(XY))...
5 answers
A student needs to determine the density of an irregularly shaped object This student prepares solution mixture where the object is suspended. The collected data is shown in the table below:LiquidDensity Volume (mL) mLDichloromethane13267.81Methanol0.7913.33Determine the density of the object:Object's densitymL
A student needs to determine the density of an irregularly shaped object This student prepares solution mixture where the object is suspended. The collected data is shown in the table below: Liquid Density Volume (mL) mL Dichloromethane 1326 7.81 Methanol 0.791 3.33 Determine the density of the obje...
5 answers
Let a,b be two real numbers, and consider the matrixA= ( 9 6 ) For which values a,b do we have A? = (8 %):
Let a,b be two real numbers, and consider the matrix A= ( 9 6 ) For which values a,b do we have A? = (8 %):...
5 answers
The endpoints of a diameter of a circle are A(1-1) and B(33), What is the area of the circle? (Area of a circle: 4 = $ 7)B (3 ,square units20 + square unitssquuare unitssquare units
The endpoints of a diameter of a circle are A(1-1) and B(33), What is the area of the circle? (Area of a circle: 4 = $ 7) B (3 , square units 20 + square units squuare units square units...
5 answers
What is the long form electron configuration (in fillingorder) for Kr.
What is the long form electron configuration (in filling order) for Kr....
5 answers
Geologist has collected 21 specimens of basaltic rock and and 19 specimens of granite. The geologist instructs laboratory assistant to randomly select 10 of the specimens for analysis_(a) What is the probability that at least 4 of the selected specimens are granite? (b) If this same process is repeated every day, what is the probability that it will take exactly 2 days in order to get a sample in which at least 4 of the specimens are granite?
geologist has collected 21 specimens of basaltic rock and and 19 specimens of granite. The geologist instructs laboratory assistant to randomly select 10 of the specimens for analysis_ (a) What is the probability that at least 4 of the selected specimens are granite? (b) If this same process is repe...
5 answers
A solenoid must be 45 cm long and 3 cm in diameter with 3800circular turns. It needs to store 2.3 J of energy. a) What currentis required? b) What magnetic field will it produce?
A solenoid must be 45 cm long and 3 cm in diameter with 3800 circular turns. It needs to store 2.3 J of energy. a) What current is required? b) What magnetic field will it produce?...
5 answers
(1 poln} Previaus Corslaer Ile lollowing 1 inden 1Wl mieuraleIntegrand has uand Wacious decomposition"1IelbamIFr
(1 poln} Previaus Corslaer Ile lollowing 1 inden 1 Wl mieurale Integrand has uand Wacious decomposition" 1 IelbamI Fr...
5 answers
Batter hits baseball and starts running to first base with speed of 24 (t/s, At what rate is his distance to second base decreasing when he is halfway to first base?
batter hits baseball and starts running to first base with speed of 24 (t/s, At what rate is his distance to second base decreasing when he is halfway to first base?...

-- 0.021553--