SOLUTION: log5 (25^2 divided by5 -)= Rewrite the equation using one or more properties of lagarithims and evaluate without a calculator.

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Question 170105: log5 (25^2 divided by5 -)=
Rewrite the equation using one or more properties of lagarithims and evaluate without a calculator.
Answer by jim_thompson5910(21667) About Me  (Show Source):
You can put this solution on YOUR website!
log%285%2C%28%2825%5E2%29%2F%285%29%29%29=log%285%2C%2825%5E2%29%29-log%285%2C%285%29%29=2%2Alog%285%2C%2825%29%29-log%285%2C%285%29%29=2%2Alog%285%2C%285%5E2%29%29-log%285%2C%285%29%29=2%2A2%2Alog%285%2C%285%29%29-log%285%2C%285%29%29=2%2A2%2A1-1=4-1=3

So log%285%2C%28%2825%5E2%29%2F%285%29%29%29=3


Note: I used the identities log%28b%2C%28A%2FB%29%29=log%28b%2C%28A%29%29-log%28b%2C%28B%29%29, log%28b%2C%28x%5Ey%29%29=y%2Alog%28b%2C%28x%29%29, and log%28b%2C%28b%29%29=1