Evaluate log of (10)^-4

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

Step 1

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

$- 4 \log (10)$

Step 2

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

$- 4 \cdot 1$

Step 3

Multiply $- 4$ by $1$ .

$- 4$

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