Precalculus Examples

$2 \log (2) \cdot (x + 4)$

Step 1

Simplify $2 \log (2)$ by moving $2$ inside the logarithm.

$\log (2^{2}) \cdot (x + 4)$

Step 2

Raise $2$ to the power of $2$ .

$\log (4) \cdot (x + 4)$

Step 3

Apply the distributive property.

$\log (4) x + \log (4) \cdot 4$

Step 4

Multiply $\log (4) \cdot 4$ .

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Step 4.1

Reorder $\log (4)$ and $4$ .

$\log (4) x + 4 \cdot \log (4)$

Step 4.2

Simplify $4 \cdot \log (4)$ by moving $4$ inside the logarithm.

$\log (4) x + \log (4^{4})$

Step 5

Raise $4$ to the power of $4$ .

$\log (4) x + \log (256)$

Step 6

Reorder factors in $\log (4) x + \log (256)$ .

$x \log (4) + \log (256)$