SOLUTION: How do you simplify log8 32? the 8 is the base and the 32 is the x. The book tells me that the answer is 1/5 but I don't get it.

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: How do you simplify log8 32? the 8 is the base and the 32 is the x. The book tells me that the answer is 1/5 but I don't get it.       Log On


   

Question 1061107: How do you simplify log8 32? the 8 is the base and the 32 is the x. The book tells me that the answer is 1/5 but I don't get it.
Answer by josgarithmetic(39625) About Me  (Show Source):
You can put this solution on YOUR website!
Try using Change Of Base formula.

log%288%2C32%29=log%282%2C32%29%2Flog%282%2C8%29
log%282%2C%282%5E5%29%29%2Flog%282%2C%282%5E3%29%29
5%2Alog%282%2C2%29%2F%283%2Alog%282%2C2%29%29
%285%2A1%29%2F%283%2A1%29
highlight%285%2F3%29


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Your textbook should show the Change of Base formula, and should show the derivation of it in logical algebraic steps. Student should study the needed textbook section before the teacher presents the lesson on the section. This makes the lecture lesson more understandable. Do not wait for teacher to show what is in the lesson. Study it before that!