Algebra Examples

$\log_{4} (8 \log_{6} (36)) - \log_{3} (\log_{5} (5))$

Step 1

Simplify each term.

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Step 1.1

Logarithm base $6$ of $36$ is $2$ .

$\log_{4} (8 \cdot 2) - \log_{3} (\log_{5} (5))$

Step 1.2

Multiply $8$ by $2$ .

$\log_{4} (16) - \log_{3} (\log_{5} (5))$

Step 1.3

Logarithm base $4$ of $16$ is $2$ .

$2 - \log_{3} (\log_{5} (5))$

Step 1.4

Logarithm base $5$ of $5$ is $1$ .

$2 - \log_{3} (1)$

Step 1.5

Logarithm base $3$ of $1$ is $0$ .

$2 - 0$

Step 1.6

Multiply $- 1$ by $0$ .

$2 + 0$

Step 2

Add $2$ and $0$ .

$2$