Precalculus Examples

$\log (90) - 0.2 \log (12 + 1)$

Step 1

Add $12$ and $1$ .

$\log (90) - 0.2 \log (13)$

Step 2

Simplify $- 0.2 \log (13)$ by moving $0.2$ inside the logarithm.

$\log (90) - \log (13^{0.2})$

Step 3

Raise $13$ to the power of $0.2$ .

$\log (90) - \log (1.67027765)$

Step 4

Log base $10$ of $1.67027765$ is approximately $0.22278867$ .

$\log (90) - 1 \cdot 0.22278867$

Step 5

Multiply $- 1$ by $0.22278867$ .

$\log (90) - 0.22278867$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\log (90) - 0.22278867$

Decimal Form:

$1.73145383 \dots$