Precalculus Examples

$\log (66) + \log (\frac{1}{11})$

Step 1

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

$\log (66 (\frac{1}{11}))$

Step 2

Cancel the common factor of $11$ .

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Step 2.1

Factor $11$ out of $66$ .

$\log (11 (6) \frac{1}{11})$

Step 2.2

Cancel the common factor.

$\log (11 \cdot 6 \frac{1}{11})$

Step 2.3

Rewrite the expression.

$\log (6)$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\log (6)$

Decimal Form:

$0.77815125 \dots$