Algebra Examples

$2^{x + 1} > 32$

Step 1

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

$2^{x + 1} > 2^{5}$

Step 2

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

$x + 1 > 5$

Step 3

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

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Step 3.1

Subtract $1$ from both sides of the inequality.

$x > 5 - 1$

Step 3.2

Subtract $1$ from $5$ .

$x > 4$

Step 4