Question 173509
{{{log(35-x^3)/log(5-x)=3}}}
{{{log(35-x^3)=3* log(5-x)}}}
{{{log(35-x^3)=log(5-x)^3}}}
{{{35-x^3 = (5-x)^3}}}
{{{35 - x^3 = (5-x)(25 - 10x + x^2)}}}
{{{35 - x^3 = 125 - 50x + 5x^2 - 25x + 10x^2 - x^3}}}
{{{0 = 15x^2 - 75x + 90}}}
{{{0 = x^2 - 5x + 6}}}
{{{0 = (x-2)(x-3)}}}
x = 2 or x=3

Test your answers
does log(35-27)/log(2) = 3?  or does log(35-8)/log(3) = 3?