Precalculus Examples

$\log (10) x = 4$

Step 1

Divide each term in $\log (10) x = 4$ by $\log (10)$ .

$\frac{\log (10) x}{\log (10)} = \frac{4}{\log (10)}$

Step 2

Simplify the left side.

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Step 2.1

Cancel the common factor of $\log (10)$ .

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Step 2.1.1

Cancel the common factor.

$\frac{\log (10) x}{\log (10)} = \frac{4}{\log (10)}$

Step 2.1.2

Divide $x$ by $1$ .

$x = \frac{4}{\log (10)}$

Step 3

Simplify the right side.

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Step 3.1

Logarithm base $10$ of $10$ is $1$ .

$x = \frac{4}{1}$

Step 3.2

Divide $4$ by $1$ .

$x = 4$