Question 948309
{{{x^2-4x=3x-10}}}
{{{x^2-7x+10=0}}}
{{{(x-2)(x-5)=0}}}
Two solutions:
{{{x-2=0}}}
{{{x=2}}}
and
{{{x-5=0}}}
{{{x=5}}}
Verify the solution.
{{{log(9,(2^2-4(2)))=log(9,(3(2)-10)))}}} 
{{{log(9,(4-8))=log(9,(6-10))}}}
{{{log(9,(-4))=log(9,(-4))}}}
This solutions leads to a negative argument which is not 
allowed. Not a good solution.
.
.
{{{log(9,(5^2-4(5)))=log(3(5)-10))}}} 
{{{log(9,(25-20))=log(9,(15-10))}}}
{{{log(9,(5))=log(9,(5))}}}
True, good solution.
{{{x=5}}}