Algebra Examples

$3^{2 + x} = 27$

Step 1

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

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

Step 2

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

$2 + x = 3$

Step 3

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

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Step 3.1

Subtract $2$ from both sides of the equation.

$x = 3 - 2$

Step 3.2

Subtract $2$ from $3$ .

$x = 1$