Algebra Examples

$5 \log (3) + \log (2)$

Simplify each term.

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

$\log (3^{5}) + \log (2)$

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

$\log (243) + \log (2)$

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

$\log (243 \cdot 2)$

Multiply $243$ by $2$ .

$\log (486)$

The result can be shown in multiple forms.

Exact Form:

$\log (486)$

Decimal Form:

$2.68663626 \dots$