Question 214362
{{{3*log(x) - log(x^2 + 2x - 15) = log(x)}}}
subtract {{{log(x)}}} frm both sides
{{{2*log(x) - log(x^2 + 2x - 15) = 0}}}
{{{2*log(x) = log(x^2 + 2x - 15)}}}
{{{log(x^2) = log(x^2 + 2x - 15)}}}
{{{x^2 = x^2 + 2x - 15}}}
{{{2x - 15 = 0}}}
{{{2x = 15}}}
{{{x = 15/2}}}
check:
{{{3*log(x) - log(x^2 + 2x - 15) = log(x)}}}
{{{log(x^3) - log(x^2 + 2x - 15) = log(x)}}}
{{{log(x^3/((x+5)(x-3))) = log(x)}}}
{{{x^3 = 421.875}}}
{{{x + 5 = 12.5}}}
{{{x - 3 = 4.5}}}
{{{12.5*4.5 = 56.25}}}
{{{421.875/ 56.25 = 15/2}}}
OK