Question

4^3x-6=1/16
Solve the following elementary exponential equation.

Answer 1

`\large\boxed{x=(4)/(3)}`

Explanation:

`4^(3x-6)=(1)/(16)\\\\4^(3x-6)=(1)/(4^2)\qquad\text{use}\ a^(-n)=(1)/(a^n)\\\\4^(3x-6)=4^(-2)\iff3x-6=-2\qquad\text{add 6 to both sides}\\\\3x=4\qquad\text{divide both sides by 3}\\\\x=(4)/(3)`