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October 1, 2014

Homework Help: Logarithms

Posted by Helper on Wednesday, March 9, 2011 at 12:24am.

I'm working on logarithmic equations and I'm stuck on how my book arrives at the next step.

First, they use the change of base formula on,

log(sqrt(2))(x^3 - 2)
(sqrt(2)) is the base,changing to base 2

log(sqrt(2))(x^3 - 2)=
log2(x^3 - 2)/(log2(sqrt(2))

I understand that part.
The next step, the book has
log2(x^3 - 2)/(log2(sqrt(2))=
2 log2(x^3 - 2)

How did they get = 2 log2(x^3 - 2)??

I tried applying the different rules but I just can't get how they arrive at
= 2 log2(x^3 - 2)??

Please help. Thanks in advance.

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