Algebra Examples

$3 \log (4) + \log (7)$

Step 1

Simplify each term.

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Step 1.1

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

$\log (4^{3}) + \log (7)$

Step 1.2

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

$\log (64) + \log (7)$

Step 2

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

$\log (64 \cdot 7)$

Step 3

Multiply $64$ by $7$ .

$\log (448)$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\log (448)$

Decimal Form:

$2.65127801 \dots$