Rewrite the following in the form log(c). 2log(3)

Given expression: We are given the expression 2log(3) and we need to rewrite it in the form log(c). We can use the power property of logarithms to do this. The power property states that n * log_b(a) = log_b(a^n).Apply power property: Apply the power property to 2log(3). 2log(3) = log(3^2)Calculate value: Calculate the value of 3^2. 3^2 = 3 * 3 = 9Replace with calculated value: Replace 3^2 with its calculated value in the logarithmic expression. log(3^2) = log(9)Rewritten expression: We have now rewritten the expression 2log(3) in the form log(c), where c is 9.

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Rewrite the following in the form
log(c).

2log(3)

Rewrite the following in the form $\log (c)$ . $\newline$ $2 \log (3)$

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Algebra 2

Evaluate logarithms using properties

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Q. Rewrite the following in the form

\log (c)

\newline

2 \log (3)

Given expression: We are given the expression $2\log(3)$ and we need to rewrite it in the form $\log(c)$ . We can use the power property of logarithms to do this. The power property states that $n \cdot \log_b(a) = \log_b(a^n)$ .
Apply power property: Apply the power property to $2\log(3)$ . $\newline$ $2\log(3) = \log(3^2)$
Calculate value: Calculate the value of $3^2$ . $\newline$ $3^2 = 3 \times 3 = 9$
Replace with calculated value: Replace $3^2$ with its calculated value in the logarithmic expression. $\newline$ $\log(3^2) = \log(9)$
Rewritten expression: We have now rewritten the expression $2\log(3)$ in the form $\log(c)$ , where $c$ is $9$ .