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

Identify expression to rewrite: Identify the expression to be rewritten. We have the expression 4log(3) and we need to rewrite it in the form log(c).Apply power property of logarithms: 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 4log(3) as log(3^4).Calculate value of c: Calculate 3^4 to find the value of c. 3^4 = 3 * 3 * 3 * 3 = 81 So, 4log(3) can be rewritten as log(81).Check final expression: Check the final expression to ensure it is in the form log(c). The final expression is log(81), which is in the form log(c) where c = 81.

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Rewrite the following in the form
log(c).

4log(3)

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

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Algebra 2

Evaluate logarithms using properties

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Q. Rewrite the following in the form

\log (c)

\newline

4 \log (3)

Identify expression to rewrite: Identify the expression to be rewritten. $\newline$ We have the expression $4\log(3)$ and we need to rewrite it in the form $\log(c)$ .
Apply power property of logarithms: 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 $4\log(3)$ as $\log(3^4)$ .
Calculate value of $c$ : Calculate $3$ ^ $4$ to find the value of $c$ . $\newline$ $3$ ^ $4$ = $3$ \times $3$ \times $3$ \times $3$ = $81$ $\newline$ So, $4$ \log( $3$ ) can be rewritten as $\log($ $81$ ).
Check final expression: Check the final expression to ensure it is in the form $\log(c)$ . $\newline$ The final expression is $\log(81)$ , which is in the form $\log(c)$ where $c = 81$ .