Precalculus Examples

$2^{x} = 32$

Step 1

Subtract $32$ from both sides of the equation.

$2^{x} - 32 = 0$

Step 2

Add $32$ to both sides of the equation.

$2^{x} = 32$

Step 3

Create equivalent expressions in the equation that all have equal bases.

$2^{x} = 2^{5}$

Step 4

Since the bases are the same, then two expressions are only equal if the exponents are also equal.

$x = 5$