Precalculus Examples

$\log_{- 26} (\frac{1}{16})$

Step 1

Rewrite $\log_{- 26} (\frac{1}{16})$ using the change of base formula.

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Step 1.1

The change of base rule can be used if $a$ and $b$ are greater than $0$ and not equal to $1$ , and $x$ is greater than $0$ .

$\log_{a} (x) = \frac{\log_{b} (x)}{\log_{b} (a)}$

Step 1.2

Substitute in values for the variables in the change of base formula, using $b = 10$ .

$\frac{\log (\frac{1}{16})}{\log (- 26)}$

Step 1.3

The logarithm of a negative number is undefined.

Undefined

$\frac{\log (\frac{1}{16})}{\log (- 26)}$

Step 2

The logarithm of a negative number is undefined.

Undefined