Question 941476

{{{3(5)^(2x-3)=6}}}

{{{cross(3)(5)^(2x-3)=cross(6)2}}}

{{{(5)^(2x-3)=2}}} take a logarithm of both sides 


{{{log(5^(2x-3))=log(2)}}} 

{{{(2x-3)log(5)=log(2)}}} 

{{{2x-3=log(2)/log(5)}}}

{{{2x=log(2)/log(5)+3}}}

{{{2x=0.430676558+3}}}

{{{2x=3.430676558}}}

{{{x=3.430676558/2}}}

{{{x=1.715338279}}}

{{{x=1.72}}}