Precalculus Examples

$\frac{6 \log_{5} (0.1) - 4}{1 - \log_{5} (0.1)}$

Step 1

Simplify the numerator.

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Step 1.1

Log base $5$ of $0.1$ is approximately $- 1.43067655$ .

$\frac{6 \cdot - 1.43067655 - 4}{1 - \log_{5} (0.1)}$

Step 1.2

Multiply $6$ by $- 1.43067655$ .

$\frac{- 8.58405934 - 4}{1 - \log_{5} (0.1)}$

Step 1.3

Subtract $4$ from $- 8.58405934$ .

$\frac{- 12.58405934}{1 - \log_{5} (0.1)}$

Step 2

Simplify the denominator.

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Step 2.1

Log base $5$ of $0.1$ is approximately $- 1.43067655$ .

$\frac{- 12.58405934}{1 - - 1.43067655}$

Step 2.2

Multiply $- 1$ by $- 1.43067655$ .

$\frac{- 12.58405934}{1 + 1.43067655}$

Step 2.3

Add $1$ and $1.43067655$ .

$\frac{- 12.58405934}{2.43067655}$

Step 3

Divide $- 12.58405934$ by $2.43067655$ .

$- 5.17718382$