Question

Solve for c. (1/4) to the power of c−2=64

Answer 1

Rewrite the equation so both sides have the same base, then equate exponents and solve for c.

`\displaystyle\left((1)/(4)\right)^(c-2)=64\\\\\left(4^(-1)\right)^(c-2)=4^(3)\\\\-(c-2)=3\\\\-1=c`

The value of c is -1.