Algebra Examples

$5 \log (3) + \log (4)$

Step 1

Simplify each term.

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Step 1.1

Simplify $5 \log (3)$ by moving $5$ inside the logarithm.

$\log (3^{5}) + \log (4)$

Step 1.2

Raise $3$ to the power of $5$ .

$\log (243) + \log (4)$

Step 2

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

$\log (243 \cdot 4)$

Step 3

Multiply $243$ by $4$ .

$\log (972)$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\log (972)$

Decimal Form:

$2.98766626 \dots$