Rewrite the following in the form log(c). 3log(4)

Recognize Property: Recognize the logarithmic property to be used. The expression 3log(4) involves a constant multiple of a logarithm. According to the power rule of logarithms, a constant multiple of a logarithm can be rewritten as the logarithm of a number raised to a power.Apply Rule: Apply the power rule of logarithms. The power rule states that a constant multiple of a logarithm is equivalent to the logarithm of the base raised to the power of that constant. Therefore, 3log(4) can be rewritten as log(4^3).Calculate Value: Calculate the value of 4^3. 4^3 = 4 * 4 * 4 = 64Write Final Expression: Write the final expression using the result from Step 3. The expression 3log(4) is equivalent to log(64).

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Rewrite the following in the form
log(c).

3log(4)

Rewrite the following in the form $\log (c)$ . $\newline$ $3 \log (4)$

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Algebra 2

Evaluate logarithms using properties

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Q. Rewrite the following in the form

\log (c)

\newline

3 \log (4)

Recognize Property: Recognize the logarithmic property to be used. $\newline$ The expression $3\log(4)$ involves a constant multiple of a logarithm. According to the power rule of logarithms, a constant multiple of a logarithm can be rewritten as the logarithm of a number raised to a power.
Apply Rule: Apply the power rule of logarithms. $\newline$ The power rule states that a constant multiple of a logarithm is equivalent to the logarithm of the base raised to the power of that constant. Therefore, $3\log(4)$ can be rewritten as $\log(4^3)$ .
Calculate Value: Calculate the value of $4^3$ . $\newline$ $4^3 = 4 \times 4 \times 4 = 64$
Write Final Expression: Write the final expression using the result from Step $3$ . $\newline$ The expression $3\log(4)$ is equivalent to $\log(64)$ .