Algebra Examples

$16^{\frac{x}{2}} = 64$

Step 1

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

$4^{2 \frac{x}{2}} = 4^{3}$

Step 2

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

$2 \frac{x}{2} = 3$

Step 3

Cancel the common factor of $2$ .

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Step 3.1

Cancel the common factor.

$2 \frac{x}{2} = 3$

Step 3.2

Rewrite the expression.

$x = 3$