SOLUTION: Log(3)3^5+log(5)125

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Question 812911: Log(3)3^5+log(5)125
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
Please include the instructions when posting. I can only guess that we are supposed to simplify this expression.

log%283%2C+%283%5E5%29%29%2Blog%285%2C+%28125%29%29
Logarithms are exponents. The first log represents the exponent you would put on 3 to get 3%5E5. Clearly this exponent must be a 5. So the first log is equal to 5:
5+%2B+log%285%2C+%28125%29%29
The second log represents the exponent you would put on a 5 to get 125. This one is not as obvious. But if you start exploring powers of 5 you will find that 125+=+5%5E3. So the exponent for 5 that results in 125 is 3:
5 + 3
which simplifies to:
8