Question 1206924


{{{log(9x + 4) = 5 + log(2x -6)}}}


{{{log(9x + 4)-log(2x - 6) = 5 }}}


{{{log((9x + 4)/(2x - 6)) = 5}}} ...write {{{5}}} as {{{5*1}}}, and {{{1}}} as {{{log(10)}}}


{{{log((9x + 4)/(2x - 6)) = 5log(10)}}}


{{{log((9x + 4)/(2x - 6)) = log(10^5)}}}....if log same, then


{{{(9x + 4)/(2x - 6) = 10^5}}}


{{{9x + 4= 100000(2x - 6) }}}


{{{9x + 4= 200000x - 600000}}}


 {{{600000+ 4= 200000x - 9x}}}


{{{199991x=600004}}}


{{{x=600004/199991}}} => exact solution


{{{x=3.000155006975314}}}...round it


{{{x=3}}} => approximate  solution