Evaluate 3 log of 2x=4

$3 \log (2 x) = 4$

Divide each term in $3 \log (2 x) = 4$ by $3$ and simplify.

Divide each term in $3 \log (2 x) = 4$ by $3$ .

$\frac{3 \log (2 x)}{3} = \frac{4}{3}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 \log (2 x)}{3} = \frac{4}{3}$

Divide $\log (2 x)$ by $1$ .

$\log (2 x) = \frac{4}{3}$

Rewrite $\log (2 x) = \frac{4}{3}$ 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 $b^{y} = x$ .

$10^{\frac{4}{3}} = 2 x$

Solve for $x$ .

Rewrite the equation as $2 x = 10^{\frac{4}{3}}$ .

$2 x = 10^{\frac{4}{3}}$

Divide each term in $2 x = 10^{\frac{4}{3}}$ by $2$ and simplify.

Divide each term in $2 x = 10^{\frac{4}{3}}$ by $2$ .

$\frac{2 x}{2} = \frac{10^{\frac{4}{3}}}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 x}{2} = \frac{10^{\frac{4}{3}}}{2}$

Divide $x$ by $1$ .

$x = \frac{10^{\frac{4}{3}}}{2}$

The result can be shown in multiple forms.

Exact Form:

$x = \frac{10^{\frac{4}{3}}}{2}$

Decimal Form:

$x = 10.77217345 \dots$

Evaluate 3 log of 2x=4

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