Question 1009517
{{{log(( 2^(5x+8)))=2 }}}........change to base {{{10}}}

{{{log(( 2^(5x+8)))/log(( 10))=2 }}}

{{{log(( 2^(5x+8)))=2log(( 10)) }}}

{{{log(( 2^(5x+8)))= log(( 10^2)) }}}

{{{log(( 2^(5x+8)))= log(( 10*10)) }}}

{{{log(( 2^(5x+8)))= log(( 10))+log((10)) }}}

{{{(5x+8)log(( 2))= log(( 2*5))+log((2*5)) }}}

{{{(5x+8)log(( 2))= log(( 2))+log((5))+log((2))+log((5)) }}}

{{{(5x+8)log(( 2))= 2log(( 2))+2log((5)) }}}

{{{5x+8= 2log(( 2))/log(( 2))+2log((5))/log(( 2)) }}}

{{{5x= 2+2log((5))/log(( 2)) -8}}}

{{{5x= 2log((5))/log(( 2)) -6}}}

{{{x= 2log((5))/5log(( 2)) -6/5}}}

{{{x= (2/5)(log((5))/log(( 2))) -6/5}}}

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