Algebra Examples

$\log (3) (x + 4)$

Step 1

Apply the distributive property.

$\log (3) x + \log (3) \cdot 4$

Step 2

Multiply $\log (3) \cdot 4$ .

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Step 2.1

Reorder $\log (3)$ and $4$ .

$\log (3) x + 4 \cdot \log (3)$

Step 2.2

Simplify $4 \cdot \log (3)$ by moving $4$ inside the logarithm.

$\log (3) x + \log (3^{4})$

Step 3

Raise $3$ to the power of $4$ .

$\log (3) x + \log (81)$

Step 4

Reorder factors in $\log (3) x + \log (81)$ .

$x \log (3) + \log (81)$