Precalculus Examples

$9 = 3^{x + 1}$

Step 1

Rewrite the equation as $3^{x + 1} = 9$ .

$3^{x + 1} = 9$

Step 2

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

$3^{x + 1} = 3^{2}$

Step 3

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

$x + 1 = 2$

Step 4

Move all terms not containing $x$ to the right side of the equation.

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Step 4.1

Subtract $1$ from both sides of the equation.

$x = 2 - 1$

Step 4.2

Subtract $1$ from $2$ .

$x = 1$