Algebra Examples

\log_{6} (9)

$\log_{6} (9)$

Step 1

The change of base rule can be used if

a

$a$ and

b

$b$ are greater than

0

$0$ and not equal to

1

$1$ , and

x

$x$ is greater than

0

$0$ .

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

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

Step 2

Substitute in values for the variables in the change of base formula, using

b = 10

$b = 10$ .

\frac{\log (9)}{\log (6)}

$\frac{\log (9)}{\log (6)}$

Step 3

The result can be shown in multiple forms.

Exact Form:

\frac{\log (9)}{\log (6)}

$\frac{\log (9)}{\log (6)}$

Decimal Form:

1.22629438 \dots

$1.22629438 \dots$