Question

How do you solve `(4/3)^x=27/64`?

Answer 1

`(4/3)^x=27/64`

`(4/3)^x=(3/4)^3`

upon taking the reciprocal of the second term the sign of the exponent will reverse from positive to negative.

`(4/3)^x=(4/3)^-3`

now we can equate the exponents for the expression:
`x = -3` is the solution.