Precalculus Examples

$\frac{7 \log (0.2)}{\log (3)}$

Step 1

Simplify $7 \log (0.2)$ by moving $7$ inside the logarithm.

$\frac{\log ({0.2}^{7})}{\log (3)}$

Step 2

Simplify the numerator.

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Step 2.1

Raise $0.2$ to the power of $7$ .

$\frac{\log (0.0000128)}{\log (3)}$

Step 2.2

Log base $10$ of $0.0000128$ is approximately $- 4.89279003$ .

$\frac{- 4.89279003}{\log (3)}$

Step 3

Move the negative in front of the fraction.

$- \frac{4.89279003}{\log (3)}$

Step 4

Log base $10$ of $3$ is approximately $0.47712125$ .

$- \frac{4.89279003}{0.47712125}$

Step 5

Divide $4.89279003$ by $0.47712125$ .

$- 1 \cdot 10.25481464$

Step 6

Multiply $- 1$ by $10.25481464$ .

$- 10.25481464$