Question 242860
{{{log(a,(5x-1)^2)=log(a,10x-5)}}}


{{{(5x-2)^2 = 10x-5}}}

{{{25x^2 -20x +4= 10x -5}}}
{{{25x^2 -30x +9=0}}}
{{{(5x-3)(5x-3)=0}}}
{{{5x=3}}}
{{{x=3/5}}}


Now you MUST check this answer in the original equation to make sure you don't have any logs of negative numbers.  In this case, your answer checks okay!


Dr. Robert J. Rapalje, Retired