Question 1153084


{{{x^(log(10,x) )= 10}}}......take log of both sides

{{{log(x^(log(x) ))= log(10)}}}

 {{{log(x)*log(x)= 1}}}

{{{log^2(x)= 1}}}

{{{log(x)= sqrt(1)}}}

solutions for this log:

{{{log(x)= 1}}} or {{{log(x)= -1}}} -> since log, disregard negative solution

{{{log(x) = 1}}}........since {{{log(10)=1}}}

{{{log(x) = log(10)}}}

{{{x=10}}}

since you have only {{{one }}}solution, product is {{{1*10=10}}}