QuestionQuestion Use the power rule to rewrite the expression $\log k^{3}$ ?
Provide your answer below:

Studdy Solution

STEP 1

1. The expression involves a logarithm with an exponent.
2. The power rule for logarithms can be applied to simplify the expression.

STEP 2

1. Identify the power rule for logarithms.
2. Apply the power rule to the given expression.

STEP 3

Recall the power rule for logarithms, which states that for any positive number $a$ and any real number $x$ , the logarithm of $a^x$ is:
$\log(a^x) = x \cdot \log(a)$

STEP 4

Apply the power rule to the expression $\log k^{3}$ .
According to the power rule, we can rewrite:
$\log k^{3} = 3 \cdot \log k$
The expression $\log k^{3}$ is equivalent to:
$3 \cdot \log k$

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