Algebra Examples

$4 \log (x) = 4$

Step 1

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

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Step 1.1

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

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

Step 1.2

Simplify the left side.

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Step 1.2.1

Cancel the common factor of $4$ .

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Step 1.2.1.1

Cancel the common factor.

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

Step 1.2.1.2

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

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

Step 1.3

Simplify the right side.

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Step 1.3.1

Divide $4$ by $4$ .

$\log (x) = 1$

Step 2

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

$10^{1} = x$

Step 3

Rewrite the equation as $x = 10^{1}$ .

$x = 10$