Precalculus Examples

$\log (\frac{1}{9}) (0.656)$

Step 1

Multiply $\log (\frac{1}{9}) (0.656)$ .

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Step 1.1

Reorder $\log (\frac{1}{9})$ and $0.656$ .

$0.656 \log (\frac{1}{9})$

Step 1.2

Simplify $0.656 \log (\frac{1}{9})$ by moving $0.656$ inside the logarithm.

$\log ({(\frac{1}{9})}^{0.656})$

Step 2

Apply the product rule to $\frac{1}{9}$ .

$\log (\frac{1^{0.656}}{9^{0.656}})$

Step 3

One to any power is one.

$\log (\frac{1}{9^{0.656}})$

Step 4

Raise $9$ to the power of $0.656$ .

$\log (\frac{1}{4.22652153})$

Step 5

Divide $1$ by $4.22652153$ .

$\log (0.23660118)$

Step 6

Log base $10$ of $0.23660118$ is approximately $- 0.62598308$ .

$- 0.62598308$