Question 752537

{{{3^(x-1)+3^(x+1) = 30}}}

{{{3^(x-1) ( 1 +3^2 ) = 30}}}

{{{3^(x-1) ( 10 ) = 30}}}

{{{3^(x-1)= 30/10}}}

{{{3^(x-1) = 3}}}

{{{3^(x-1) = 3^1}}}....same base => same exponents

{{{x-1 = 1}}}

{{{x = 2}}}