Question 1204786



{{{2^(log(2,(2x + 3))) + 5^(log(5,(x + 7))) = 7^(log(7,(2x + 18)))}}}


use log rule: {{{b^(log(b,k))=k}}}


{{{2^(log(2,(2x + 3)))=2x + 3}}}

 {{{5^(log(5,(x + 7)))=x + 7}}}

{{{7^(log(7,(2x + 18)))=2x + 18}}}



{{{2x + 3+x + 7=2x + 18}}}

{{{3x + 10=2x + 18}}}

{{{3x -2x=  18-10}}}

{{{x=  8}}}