SOLUTION: Use log5(2)~.4307 and log5(3)~.6826 to approximate the expression without a calculator: log5(18)

Question 72883: Use log5(2)~.4307 and log5(3)~.6826 to approximate the expression without a calculator:
log5(18)

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Use these identities to solve

If we let x=2 and y=3 for the 1st identity we get
This gets us halfway to 18.
Now plug in the approximate values
Notice how this turns into log(18) using the identities.
Plug in remaining values.
Check:
It's close enough to work
So Approximately of course
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