Solve for x log of 4x=3

$\log (4 x) = 3$

Step 1

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

$10^{3} = 4 x$

Step 2

Solve for $x$ .

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

$4 x = 10^{3}$

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

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

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

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

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

Divide $x$ by $1$ .

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

Simplify the right side.

Raise $10$ to the power of $3$ .

$x = \frac{1000}{4}$

Divide $1000$ by $4$ .

$x = 250$

Solve for x log of 4x=3

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