Algebra Examples

$2 \log (3) + \log (8)$

Step 1

Simplify each term.

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Simplify $2 \log (3)$ by moving $2$ inside the logarithm.

$\log (3^{2}) + \log (8)$

Raise $3$ to the power of $2$ .

$\log (9) + \log (8)$

Step 2

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

$\log (9 \cdot 8)$

Step 3

Multiply $9$ by $8$ .

$\log (72)$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\log (72)$

Decimal Form:

$1.85733249 \dots$