Question

How do you solve `12^x=14^(3x)`?

Answer 1

I found: `x=0`

Explanation:

Take the natural log (ln) on both sides:
`ln12^x=ln14^(3x)`
use the property that:
`lnx^a=alnx` to get:
`xln12=3xln14`
`xln12-3xln14=0`
so:
`x(ln12-3ln14)=0`

this is true only if `x=0`