- #1

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## Homework Statement

Find ##x## if ##x^{log 5}+5^{log x}=50##

## Homework Equations

## The Attempt at a Solution

I tried ##x^{log 5}=50-5^{log x}##

and vice versa. Then substituting the value of x in another equation, I end up with irritating results like

##50=50, 0=0, 1=1, x^{log 5}=x^{log 5} ## etc.

Can anyone give me a hint?