SOLUTION: Please help solve for x log(little 2)64 = x

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Question 94184This question is from textbook
: Please help solve for x
log(little 2)64 = xThis question is from textbook

Answer by jim_thompson5910(21667) About Me  (Show Source):
You can put this solution on YOUR website!
log%282%2C%2864%29%29=x Start with the given equation


log%282%2C%282%5E6%29%29=x Rewrite 64 as 2%5E6



6%2Alog%282%2C%282%29%29=x Rewrite the logarithm using the identity log%28b%2C%28x%5Ey%29%29=y%2Alog%28b%2C%28x%29%29


6%2A%281%29=x Evaluate log%282%2C%282%29%29 to get 1 (note: log%28x%2C%28x%29%29=1)


6=x Multiply


So the answer is x=6