Precalculus Examples

$\frac{\log (p)}{\log (0.27)}$

Step 1

Log base $10$ of $0.27$ is approximately $- 0.56863623$ .

$\frac{\log (p)}{- 0.56863623}$

Step 2

Move the negative in front of the fraction.

$- \frac{\log (p)}{0.56863623}$

Step 3

Multiply by $1$ .

$- \frac{1 \log (p)}{0.56863623}$

Step 4

Factor $0.56863623$ out of $0.56863623$ .

$- \frac{1 \log (p)}{0.56863623 (1)}$

Step 5

Separate fractions.

$- (\frac{1}{0.56863623} \cdot \frac{\log (p)}{1})$

Step 6

Divide $1$ by $0.56863623$ .

$- (1.75859352 \frac{\log (p)}{1})$

Step 7

Divide $\log (p)$ by $1$ .

$- (1.75859352 \log (p))$

Step 8

Simplify $1.75859352 \log (p)$ by moving $1.75859352$ inside the logarithm.

$- \log (p^{1.75859352})$