SOLUTION: Evaluate log27 base 3 + log 9 base 3 - log243 base 3

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Question 1195847: Evaluate log27 base 3 + log 9 base 3 - log243 base 3
Found 2 solutions by josgarithmetic, Alan3354:
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
log27 base 3 + log 9 base 3 - log243 base 3

log%283%2C27%29%2Blog%283%2C9%29-log%283%2C243%29

You know some numbers in exponential form?
log%283%2C3%5E3%29%2Blog%283%2C3%5E2%29-log%283%2C3%5E5%29
You know some rules about log of exponentiated numbers?

3%2Alog%283%2C3%29%2B2%2Alog%283%2C3%29-5%2Alog%283%2C3%29
and the rest should be obvious...
.

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Evaluate log27 base 3 + log 9 base 3 - log243 base 3
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= log%283%2C%2827%2A9%29%29+-+log%283%2C243%29
= log%283%2C243%29+-+log%283%2C243%29
= 0