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Equation;equtlon HopeeIntemccprtom80Dano )-Wecdedhgtdpt...

Question

Equation;equtlon HopeeIntemccprtom80Dano )-Wecdedhgtdpt

Equation; equtlon HopeeIntemccprtom 8 0D ano )-Wecdedh gtdpt



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Solve each equation. Give solutions in exact form. $$ \log _{8}(x+2)+\log _{8}(x+4)=\log _{8} 8 $$

So this one is actually pretty simple, so we're just going to be solving for X in this situation or the solution set. So for this we can actually use, oh, this type of equation to look at, so put in simpler terms. So in this, in this technically we have a would be equal to eight, and X would be equal to 11. And so that's pretty simple because all we're trying to solve for is the solution set, which is X. So so this X is going to equal 11. And so therefore the solution set is 11, and that's the answer.

But then we're given a factor quadratic year, and we have to solve. And so we saw boats within each of the parentheses. So that first breath, she says, X minus eight. We set that you called a zero and solve for X, and we'll get X equals eight for the 2nd 1 at Sequels negativity and we know. But for this quadratic x b, there were no X has to equal either eight or nine.

Right on equal in exponential equation for the given the question the given equation ists law. They see opium equal to eight. We know that law. The scale X equal to B is equal and to able will be equal to X. So using this, we can drive to give any question as Seaport eight equal to him. Hence the equal and exponential equation is people 80 will tow him.

Alright for question 100 because the logs have the same base of eight, we can cancel those out and be able to set the absolute value of 3 -1 equal to five. Were then able to break this up into two problems to get rid of the bars or have three minus X equals a positive five and three minus X equals negative five. So we're gonna subtract three on both sides, negative X. Is gonna equal to two. Then we change the signs to make that be a negative too negative three on each side. We're gonna get me negative X. Is equal to negative eight. When we change those signs by division, we're gonna get a pop.


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