Precalculus Examples

$\log (4) + \log (9) + \log (2)$

Step 1

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

$\log (4 \cdot 9) + \log (2)$

Step 2

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

$\log (4 \cdot 9 \cdot 2)$

Step 3

Multiply $4 \cdot 9 \cdot 2$ .

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Step 3.1

Multiply $4$ by $9$ .

$\log (36 \cdot 2)$

Step 3.2

Multiply $36$ by $2$ .

$\log (72)$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\log (72)$

Decimal Form:

$1.85733249 \dots$