Question

How do you solve `3^(x-2)=13^(4x)`?

Answer 1

Take natural logarithm both side

`ln(3^(x-2))=ln(13^(4x))`

`xln(3)-2ln(3) = 4xln(13)`

`2ln(3)=xln(3)-4xln(13)`

`2ln(3)=x(ln(3)-4ln(13))`

`(2ln(3))/(ln(3)-4ln(13)) = x`