SOLUTION: If log(3,x) = 8, evaluate the following. log(3,9x) I was given the answer 10 but I don't know the reasoning.

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Question 1204575: If log(3,x) = 8, evaluate the following.
log(3,9x)

I was given the answer 10 but I don't know the reasoning.
Found 2 solutions by mananth, greenestamps:
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!


log(3,x) = 8
3^8=x=6561
log(3,9x)
9x= 9*6561=59049=3^10
9x=3^10
log(3,59049) = log(3,(9x))=10



Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


There is no need to work with the actual powers of 3, as the other tutor did, to work this problem....

The solution is in a single line, using basic log rules (and no big numbers!):