Question

How do you solve `7^(x – 2) = 12^x`?

Answer 1

`x=(2 log 7)/(log 7-log 12)=-7.22`, nearly.

Explanation:

Use `log (a^m)=m log a`.

Equating the logarithms,

`(x-2) log 7=x log 12`.
So, `x (log 7-log 12)=2 log 7. x=(2 log 7)/(log 7-log 12)`