Rewrite the following in the form log(c). 2log(5)

Given expression: We are given the expression 2log(5). To rewrite this expression in the form log(c), we can use the power property of logarithms, which states that n * log_b(a) = log_b(a^n). We will apply this property to the given expression.Applying power property: Using the power property, we rewrite 2log(5) as log(5^2). Calculation: 2log(5) = log(5^2)Calculating value of c: Now we calculate 5^2 to find the value of c. Calculation: 5^2 = 25Substituting value in expression: We substitute 25 for 5^2 in the logarithmic expression. log(5^2) becomes log(25).

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Rewrite the following in the form
log(c).

2log(5)

Rewrite the following in the form $\log (c)$ . $\newline$ $2 \log (5)$

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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 (5)

Given expression: We are given the expression $2\log(5)$ . To rewrite this expression in the form $\log(c)$ , we can use the power property of logarithms, which states that $n \cdot \log_b(a) = \log_b(a^n)$ . We will apply this property to the given expression.
Applying power property: Using the power property, we rewrite $2\log(5)$ as $\log(5^2)$ . $\newline$ Calculation: $2\log(5) = \log(5^2)$
Calculating value of c: Now we calculate $5^2$ to find the value of $c$ . $\newline$ Calculation: $5^2 = 25$
Substituting value in expression: We substitute $25$ for $5^2$ in the logarithmic expression. $\log(5^2)$ becomes $\log(25)$ .