Precalculus Examples

$\log_{4} (24) - \log (4) \cdot 6$

Step 1

Multiply $- \log (4) \cdot 6$ .

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Step 1.1

Multiply $6$ by $- 1$ .

$\log_{4} (24) - 6 \log (4)$

Step 1.2

Simplify $- 6 \log (4)$ by moving $6$ inside the logarithm.

$\log_{4} (24) - \log (4^{6})$

Step 2

Raise $4$ to the power of $6$ .

$\log_{4} (24) - \log (4096)$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\log_{4} (24) - \log (4096)$

Decimal Form:

$- 1.31987869 \dots$