CPM Homework Help : INT1 Problem 4-79

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4-79.

Solve each equation.

$\quad 8 ^ { x } = 2 ^ { 6 }$

Step 1(a):
Since $8 = 2^3, (2^3)^x = 2^6$
Step 2(a):
$2^{3x} = 2^6$
Step 3(a):
$3x = 6$
Answer (a):
$x = 2$

$4 ^ { 2 x } = ( \frac { 1 } { 2 } ) ^ { x + 5 }$

Hint (b):
Use the same method as part (a).
Remember that:
$\frac{1}{2}=2^{-1}$

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