Precalculus Examples

$\log (6) + 4 \log (2)$

Step 1

Simplify each term.

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Step 1.1

Simplify $4 \log (2)$ by moving $4$ inside the logarithm.

$\log (6) + \log (2^{4})$

Step 1.2

Raise $2$ to the power of $4$ .

$\log (6) + \log (16)$

Step 2

Use the product property of logarithms, $\log_{b} (x) + \log_{b} (y) = \log_{b} (x y)$ .

$\log (6 \cdot 16)$

Step 3

Multiply $6$ by $16$ .

$\log (96)$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\log (96)$

Decimal Form:

$1.98227123 \dots$