SOLUTION: Solve for x: log(10,x^(log(10,x))=4

Question 548954: Solve for x: log(10,x^(log(10,x))=4
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Solve for x:
log(10,x^(log(10,x))=4
---
log10[x^(log10(x))] = 4
x^(log10(x)) = 10^4
x^(log10(x)) = 10000
x^[log(x)] = 10000
Take the log of both sides to get:
log(x)(log(x) = 4
[log(x)]^2 = 4
log(x) = 2
x = 10^2
x = 100
==============
Cheers,
Stan H.
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