Precalculus Examples

$\log (363) - 0.5 \log (16)$

Step 1

Simplify $- 0.5 \log (16)$ by moving $0.5$ inside the logarithm.

$\log (363) - \log (16^{0.5})$

Step 2

Raise $16$ to the power of $0.5$ .

$\log (363) - \log (4)$

Step 3

Log base $10$ of $4$ is approximately $0.60205999$ .

$\log (363) - 1 \cdot 0.60205999$

Step 4

Multiply $- 1$ by $0.60205999$ .

$\log (363) - 0.60205999$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\log (363) - 0.60205999$

Decimal Form:

$1.95784663 \dots$