Solve for x log of 3x=1/8

$\log (3 x) = \frac{1}{8}$

Rewrite $\log (3 x) = \frac{1}{8}$ 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 $b^{y} = x$ .

$10^{\frac{1}{8}} = 3 x$

Solve for $x$ .

Rewrite the equation as $3 x = 10^{\frac{1}{8}}$ .

$3 x = 10^{\frac{1}{8}}$

Divide each term in $3 x = 10^{\frac{1}{8}}$ by $3$ and simplify.

Divide each term in $3 x = 10^{\frac{1}{8}}$ by $3$ .

$\frac{3 x}{3} = \frac{10^{\frac{1}{8}}}{3}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 x}{3} = \frac{10^{\frac{1}{8}}}{3}$

Divide $x$ by $1$ .

$x = \frac{10^{\frac{1}{8}}}{3}$

The result can be shown in multiple forms.

Exact Form:

$x = \frac{10^{\frac{1}{8}}}{3}$

Decimal Form:

$x = 0.44450714 \dots$

Solve for x log of 3x=1/8

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