Question 736828
{{{
7^(5x-8)*5^(x+2)=30625
}}}

{{{
7^(5x-8)*5^(x+2)=5^4*7^2
}}}


{{{
(7^(5x-8)/7^2)*(5^(x+2)/5^4)=1
}}}


{{{
(7^(5x-8-2))*(5^(x+2+4))=1
}}}

{{{
(7^(5x-10))*(5^(x+6))=1
}}}

{{{
log((7^(5x-10))*(5^(x+6)))=log(1)
}}}

{{{
(5x-10)log7+(x+6)log5=0
}}}


{{{
(5log7+log5)x=10log7-6log5
}}}


{{{
x=(10log7-6log5)/(5log7+log5)
}}}


:)