Just wondering if someone can tell me if I got this correct. It was a problem on my midterm a month ago and im going over the probs I got wrong, and I dont know the correct answers.(adsbygoogle = window.adsbygoogle || []).push({});

1. The problem statement, all variables and given/known data

4^{(x+1)}= 8^{(x-1)}

2. Relevant equations

3. The attempt at a solution

log 4^{(x+1)}= log 8^{(x-1)}

(x+1) log 4 = (x-1) log 8

x log 4 + log 4 = x log 8 - log 8 (sub/add to get x on one side)

log 8 + log 4 = x log 8 - x log 4

log 8 + log 4 = x(log 8 - log 4) (divide to get x)

log 8 + log 4 = X

---------------

log 8 - log 4

x= 5

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# Homework Help: Logarithmic Equation

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