SOLUTION: how do I find the exact value of problems similar to log(base 3)3^71

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Question 810568: how do I find the exact value of problems similar to log(base 3)3^71
Answer by erica65404(394) About Me  (Show Source):
You can put this solution on YOUR website!
anytime the base of the log equals the log than the exponent is the answer.
log%28b%2Cb%5Ea%29=a
log%285%2C5%5E357%29=357

The reasoning for this that log%28a%2Ca%29 equals 1.
The exponent property, b%2Alog%28a%29=log%28a%5Eb%29, means that when you bring the exponent down, you multiple it by one.


log%283%2C3%5E71%29
71%2Alog%283%2C3%29
71%2A1
71 is your answer.