Question 204564

{{{-7/5^x+7/2=3/5^x+9/10}}}

{{{-7(10) + 35*5^x = 30 + 9*5^x}}} ------>  Multiply by LCD, {{{10*5^x}}}

{{{-70 + 26*5^x = 30}}}

{{{26*5^x = 100}}}

{{{5^x = 100/26}}}

{{{5^x = 3.846153846}}}

{{{x = log(5,3.846153846)}}}

{{{highlight_green(x  =  0.836983917)}}}