SOLUTION: How to solve this equation: log(3)x = 9log(x)3 ()=subscript

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Question 188086: How to solve this equation:
log(3)x = 9log(x)3
()=subscript

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
solve this equation:
log(3)x = 9log(x)3
-----
[log(x)/log(3) = 9[log(3)/log(x)]
---
[log(x)]^2 = 9[log(3)]2
[log(x)]^2 = 9*0.2276
[log(x)]^2 = 2.0488
---
log(x) = 1.4314
x = 10^1.4314
x = 27
----------------
Cheers,
Stan H.

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