CPM Homework Help : PC Problem 3-63

Solve each equation without using logarithms.

Compute without a calculator

$2^{x} = 8^{(x−1)}$
Hint (a):
1. Get a common base.
2. Set the exponents $=$ to each other.
3. Solve for the variable.
$4^{−x} = 8^{(x+2)}$
Hint (b):
1. Get a common base.
2. Set the exponents $=$ to each other.
3. Solve for the variable.
$7 ^ { ( \frac { 1 } { 2 } x + 3 ) } = 1$
Hint (c):
$1 = 7^{0}$