Chapter 8.7, Problem 50PE

For Exercises 39−54, solve the exponential equation by using the property that $b^x=b^y$ implies $x=y$ , for $b>0$ and $b\ne 1$ . (See Example 5−6). 50. ${\left(\frac{1}{4}\right)}^{3x+2}=\frac{1}{64}$

Example 5 Solving an Exponential Equation

Solve the equation. $4^{2x-9}=64$

Example 6 Solving an Exponential Equation

Solve the equation. ${\left(2^x\right)}^{x+3}=\frac{1}{4}$