Precalculus Examples

$5^{x + 1} = 625$

Step 1

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

$5^{x + 1} = 5^{4}$

Step 2

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

$x + 1 = 4$

Step 3

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

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Step 3.1

Subtract $1$ from both sides of the equation.

$x = 4 - 1$

Step 3.2

Subtract $1$ from $4$ .

$x = 3$