CPM Homework Help : A2C Problem 3-57

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3-57.

Solve each equation below for $x$ . Refer back to problem 3-30 for examples, if necessary.

$2^{(x+3)} = 64$
Hint (a):
$64 = 2^{6}$
Answer (a):
$2^{(x+ 3)} = 2^{6}$
$x + 3 = 6$
$x = 3$

$8^{x} = 4^{6}$
Hint (b):
Do $8$ and $4$ have a common base?

$9 ^ { x } = \frac { 1 } { 27 }$
Hint (c):
$\text{Notice: }\frac{1}{27}=3^{-3}$

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