Algebra Examples

$3^{x} = \sqrt{3}$

Step 1

Use $\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ to rewrite $\sqrt{3}$ as $3^{\frac{1}{2}}$ .

$3^{x} = 3^{\frac{1}{2}}$

Step 2

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

$x = \frac{1}{2}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$x = \frac{1}{2}$

Decimal Form:

$x = 0.5$