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Tee properties of logarithma to rewrite each expression &z aingle logarithziZ log(z 1) - 3log * + Jog 52 log3 y) + log3 10(log3...

Question

Tee properties of logarithma to rewrite each expression &z aingle logarithziZ log(z 1) - 3log * + Jog 52 log3 y) + log3 10(log3

Tee properties of logarithma to rewrite each expression &z aingle logarithzi Z log(z 1) - 3log * + Jog 5 2 log3 y) + log3 10 (log3



Answers

Use the properties of logarithms to write the expression as a single logarithm. $$ \log (x)-\frac{1}{3} \log (z)+\frac{1}{2} \log (y) $$

You want one? When did you get it? From the number in front, under lock here and isn't as well when what you do that is. We can bring the June the power in front about in front. Now. Phone was gonna go to rock off, Expel half mine us. Look off! Why, Marcos? Stand minus lock on the WGA thought, and then we can come back. Everything. Everyone into one block, big clock here and in it. You knew that we would a fraction here on the plus one, but in the new Morita for the miners were put in the nominee toe here. So therefore, would you get me go to X About 1/2 terms, Zet and funding the nominee that we're gonna Why terms that devil you want that Therefore we can raise that is done along off the spirit of the thanks times damned on now doesn't will be. Why Times three ended up with you

Harry have won by to log X minus one by tree log Y minus two logs The that. So as we know that a law be can be written is log beautiful. But a We can use this property here so we will write it again. Log extra power one by two minus log Where to the power? One by three. My Penis looks j to the power also we know that love a minus log Be his log off a baby Here also we can write it as this is here A this is B so this convenient Another log X power when they do upon way power one by three. So this is again we have Expo one by two wiper upon way board one day three minus law Jared Square again. This hair will use the same form of this. So this is also logged. A minus log be And this will be Log off this upon Georgescu. So here as well we will write. Log off Expert one by two A bone wiper one by three into Jaresko. So this is so

Ellis didn't in this problem we have to express the given expression as a single logarithms. So firstly I will use the power rule here with says W. Times Love you. It was a log of you to depart W This coefficient will go in the exponent of you. So using the power will here I will like this term as log of X to the power half to the best tree again. Using power rule here. This too will go in the power of way. So this becomes log off Y square to the Bay Street minus log of Z. To the Bay Street. No using the question rule, we can write Love U minus log W as log of you upon the blue. So using question tool here this term is you and this term is W. So I will write this term as log of X to the power half upon Y. Square to the best treat minus log of Z. To the base three. No using the question rule again here. So I will write this as log off X to the power half upon by square divided by a Z. To the Bay Street. And we can also write this as log of root X upon vice square times Z to the best three. So this is the final answer of this question. I hope you always understood. Thank you

For this problem, we're going to use the properties of lager. Them's to change this into a single log, a rhythm. And there are actually a lot of good approaches to this problem. So the one I'm going to use is to start by rearranging the terms. So I'm going to put the log of ze first. This is because it makes it more clear to me that I need to use the quotient property. But before I can use a question property, I need to use the power property and bring this to up and make it a power. And bring this three up and make it a power. So now I have the log of Z minus the log of X squared minus the log of y Cute. Okay, now, according to the question property, if you subtract logarithms, you rewrite it as the quotient of the arguments. So that means we would have the log of the quotient Z over X squared since X squared was subtracted. It goes on the bottom. And why cubed also on the bottom? Because it's longer than was attracted. And that is our combined single lager. Them


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