CPM Homework Help : PC Problem 3-10

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3-10.

Solve using powers of the same base.

$9 ^ { x } = \frac { 3 } { 3 ^ { x } }$
Step 1(a):
$(3^{2})^x = 3^1 \cdot 3^{-x}$
Step 2(a):
$3^{2x} = 3^{1-x}$
Step 3(a):
$2x = 1 -x$
Step 4(a):
$x = \frac{1}{3}$

$25 ^ { x } = \sqrt [ 5 ] { 5 ^ { x } }$
Hint (b):
Follow the same thinking process as shown in part (a).

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