Question 1000088: Log81^x=9
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! log(81^x) = 9
since log(81^x) = x*log(81), this equation becomes:
x*log(81) = 9
divide both sides of this equation by log(81) to get:
x = 9/log(81)
use your calculator to find log(81) to get:
x = 9/1.908485019
solve for x to get:
x = 4.715782367
log(81^x) = 9 becomes:
log(81^(4.715782367)) = 9 which becomes:
log(1,000,000,000) = 9 which becomes:
9 = 9
your solution is that x = 1,000,000,000 which is the same as x = 10^9.
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