Precalculus Examples

$10 \cdot \log (10^{\frac{x}{10}} \cdot 10)$

Step 1

Rewrite $\log (10^{\frac{x}{10}} \cdot 10)$ as $\log (10^{\frac{x}{10}}) + \log (10)$ .

$10 \cdot (\log (10^{\frac{x}{10}}) + \log (10))$

Step 2

Use logarithm rules to move $\frac{x}{10}$ out of the exponent.

$10 \cdot (\frac{x}{10} \log (10) + \log (10))$

Step 3

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

$10 \cdot (\frac{x}{10} \cdot 1 + \log (10))$

Step 4

Multiply $\frac{x}{10}$ by $1$ .

$10 \cdot (\frac{x}{10} + \log (10))$

Step 5

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

$10 \cdot (\frac{x}{10} + 1)$

Step 6

Apply the distributive property.

$10 \frac{x}{10} + 10 \cdot 1$

Step 7

Cancel the common factor of $10$ .

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Step 7.1

Cancel the common factor.

$10 \frac{x}{10} + 10 \cdot 1$

Step 7.2

Rewrite the expression.

$x + 10 \cdot 1$

Step 8

Multiply $10$ by $1$ .

$x + 10$