CPM Homework Help : PC3 Problem 6-33

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6-33.

Solve the system: $\begin{aligned}[t] 2^x+2^y=12 \\ 4^x-4^y=48 \end{aligned}$

Hint:

$4^x+4^y$ is equivalent to $(2^x)^2+(2^y)^2.$

More Help

Let $a=2^x$ and $b=2^y$

Step

$a+b=12$
$a^2−b^2=48$

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