Question 959037


{{{log(2 ,(x+5))-log(2,(2x-1))=5}}}

{{{log(2 ,(x+5)/(2x-1))=5}}}....change the base to base {{{10}}}

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

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

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

{{{log((x+5)/(2x-1))=log(32)}}}........if log same, then

{{{(x+5)/(2x-1)=32}}}.........solve for {{{x}}}

{{{x+5=32(2x-1)}}}

{{{x+5=64x-32}}}

{{{32+5=64x-x}}}

{{{37=63x}}}

{{{x=37/63}}}