Question 1160378

{{{5^x*5^(x-1)=10}}}

{{{5^(x+x-1)=10}}}

{{{5^(2x-1)=10}}}

{{{5^(2x)/5=10}}}

{{{(5^2)^x=50}}}

{{{25^x=50}}}..........take log of both sides

{{{log((25^x))=log((50))}}}

{{{x*log((25))=log((50))}}}

{{{x=log((50))/log((25))}}}

{{{x=log((5^2*2))/log((5^2))}}}

{{{x=(log((5^2))+log((2)))/log((5^2))}}}

{{{x=(2log((5))+log((2)))/(2log((5)))}}}

{{{x=1+log((2))/2log((5))}}}