### Home > CCA2 > Chapter 4 > Lesson 4.1.3 > Problem4-46

4-46.

Solve the system of equations below. Homework Help ✎

$2^{(x + y)} = 16$
$2^{(2x + y)} = \frac { 1 } { 8 }$

2, 16, and $\frac{1}{8}$ all have what common base?

Once the bases are the same, the exponents in each equation must be equal. Write a system of
equations using only the exponents. Solve it. Check your solutions for x and y in the original system.