SOLUTION: Evaluate the expression log(base 8)8^5. Thanks!

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Question 153726This question is from textbook Intermediate Algebra
: Evaluate the expression log(base 8)8^5.
Thanks! This question is from textbook Intermediate Algebra

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
log%288%2C%288%5E5%29%29 Start with the given expression


5%2Alog%288%2C%288%29%29 Rewrite the expression using the identity log%28b%2C%28x%5Ey%29%29=y%2Alog%28b%2C%28x%29%29. In other words, simply pull down the exponent and place it in front of the log.


5%2A1 Evaluate the log base 8 of 8 to get 1. Note: log%28b%2C%28b%29%29=1 where b%3E0.


5 Multiply.


So log%288%2C%288%5E5%29%29=5