Solve for x log base 3 of x=1/2

$\log_{3} (x) = \frac{1}{2}$

Rewrite $\log_{3} (x) = \frac{1}{2}$ in exponential form using the definition of a logarithm. If $x$ and $b$ are positive real numbers and $b \neq 1$ , then $\log_{b} (x) = y$ is equivalent to $b^{y} = x$ .

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

Rewrite the equation as $x = 3^{\frac{1}{2}}$ .

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

The result can be shown in multiple forms.

Exact Form:

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

Decimal Form:

$x = 1.73205080 \dots$

Solve for x log base 3 of x=1/2

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