Write the equation 10 = 10.
Raise the left 10 to the power 5 log x and the right 10 to the power -5.
Then we have
5 log x -5
10 = 10
This is the same as
log x 1
[10 ]^5 = -------------- or x^5 = [10^(-1)]^5
100000
This reduces to x = 10^(-1), or x = 1/10 (answer)
Check this result!