Algebra Examples

$4 \log_{16} (12) - 4 \log_{16} (2)$

Step 1

Simplify $4 \log_{16} (12)$ by moving $4$ inside the logarithm.

$\log_{16} (12^{4}) - 4 \log_{16} (2)$

Step 2

Raise $12$ to the power of $4$ .

$\log_{16} (20736) - 4 \log_{16} (2)$

Step 3

Logarithm base $16$ of $2$ is $\frac{1}{4}$ .

$\log_{16} (20736) - 4 (\frac{1}{4})$

Step 4

Cancel the common factor of $4$ .

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Step 4.1

Factor $4$ out of $- 4$ .

$\log_{16} (20736) + 4 (- 1) \frac{1}{4}$

Step 4.2

Cancel the common factor.

$\log_{16} (20736) + 4 \cdot - 1 \frac{1}{4}$

Step 4.3

Rewrite the expression.

$\log_{16} (20736) - 1$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\log_{16} (20736) - 1$

Decimal Form:

$2.58496250 \dots$