Precalculus Examples

$- (\log (4.4 + \log (10^{- 4})))$

Step 1

Simplify each term.

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Step 1.1

Use logarithm rules to move $- 4$ out of the exponent.

$- \log (4.4 - 4 \log (10))$

Step 1.2

Logarithm base $10$ of $10$ is $1$ .

$- \log (4.4 - 4 \cdot 1)$

Step 1.3

Multiply $- 4$ by $1$ .

$- \log (4.4 - 4)$

Step 2

Subtract $4$ from $4.4$ .

$- \log (0.4)$

Step 3

Log base $10$ of $0.4$ is approximately $- 0.39794$ .

$- - 0.39794$

Step 4

Multiply $- 1$ by $- 0.39794$ .

$0.39794$