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

Identify Expression: Identify the expression to be rewritten. We have the expression 2log(2), which we want to rewrite in the form log(c).Apply Power Property: Apply the power property of logarithms to rewrite the expression. The power property of logarithms states that n * log_b(a) = log_b(a^n). We can use this property to rewrite 2log(2) as log(2^2).Calculate Value: Calculate the value of 2^2. 2^2 equals 4. So, log(2^2) becomes log(4).Write Final Expression: Write the final expression. The expression 2log(2) has been rewritten as log(4), which is in the form log(c) where c = 4.

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Rewrite the following in the form
log(c).

2log(2)

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

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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 (2)

Identify Expression: Identify the expression to be rewritten. $\newline$ We have the expression $2\log(2)$ , which we want to rewrite in the form $\log(c)$ .
Apply Power Property: Apply the power property of logarithms to rewrite the expression. $\newline$ The power property of logarithms states that $n \cdot \log_b(a) = \log_b(a^n)$ . We can use this property to rewrite $2\log(2)$ as $\log(2^2)$ .
Calculate Value: Calculate the value of $2^2$ . $2^2$ equals $4$ . So, $\log(2^2)$ becomes $\log(4)$ .
Write Final Expression: Write the final expression. $\newline$ The expression $2\log(2)$ has been rewritten as $\log(4)$ , which is in the form $\log(c)$ where $c = 4$ .