Question 828310
log base 5(x)+log base 25 (125/x)=2
{{{log(5,(x))+log(25,(125))-log(25,(x))=2}}}
convert to base 5
{{{log(5,(x))+(log(5,(125))/(log(5,25)))-(log(5,(x))/(log(5,25))))}}}=2
{{{log(5,(x))+(log(5,(125))/2)-(log(5,(x))/2)=2}}}
LCD:2
{{{2log(5,(x))+(log(5,(125)))-(log(5,(x)))=4}}}
{{{log(5,(x))+log(5,(125))=4}}}
{{{log(5,(125x))=4}}}
5^4=125x
125x=625
x=5