SOLUTION: Log9(25)+log3(2)

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Question 1023845: Log9(25)+log3(2)
Found 2 solutions by ikleyn, FrankM:
Answer by ikleyn(52778) About Me  (Show Source):
You can put this solution on YOUR website!
.
Log9(25)+log3(2)
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log%289%2C%2825%29%29 + log%283%2C%282%29%29 = highlight%28cross%282%2Alog%283%2C%2825%29%29%29%29 + log%283%2C%282%29%29 = highlight%28cross%28log%283%2C%2825%5E2%29%29%29%29 + log%283%2C%282%29%29 = highlight%28cross%28log%283%2C%28625%2A2%29%29%29%29 = highlight%28cross%28log%283%2C%281250%29%29%29%29.
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Yes, my previous line was wrong. Thanks to other tutor for noticing.

The correct form is

log%289%2C%2825%29%29 + log%283%2C%282%29%29 = %281%2F2%29%2Alog%283%2C%2825%29%29 + log%283%2C%282%29%29 = log%283%2C%28sqrt%2825%29%29%29 + log%283%2C%282%29%29 = log%283%2C%285%29%29 + log%283%2C%282%29%29 = log%283%2C%2810%29%29.


Answer by FrankM(1040) About Me  (Show Source):
You can put this solution on YOUR website!
It may not be obvious but

log%289%2C%2825%29%29=log%283%2C%285%29%29

First X=log%289%2C%2825%29%29

9%5EX=25

log9%5EX=log25

Xlog9=log25

X=log25%2Flog9

X=log5%5E2%2Flog3%5E2

X=2log5%2F2log3

X=log5%2Flog3

X=log%283%2C%285%29%29

The rest should flow from this. (the other answer provides the rest of the details)