Rewrite the following in the form log(c). log(3)+log(5)

Identify property for combining logarithms: log(3) + log(5) Identify the property that can be used to combine the two logarithms. Sum of logarithms of two numbers equals the logarithm of their product. Product property: log(P) + log(Q) = log(P * Q)Apply product property of logarithms: log(3) + log(5) Apply the product property of logarithms to combine the two logs into one. log(3) + log(5) = log(3 * 5)Calculate product of 3 and 5: Calculate the product of 3 and 5. 3 * 5 = 15 So, log(3 * 5) = log(15)Rewrite expression as single logarithm: Rewrite the expression as a single logarithm. log(3) + log(5) = log(15) This is the expression in the form log(c).

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Rewrite the following in the form
log(c).

log(3)+log(5)

Rewrite the following in the form $\log (c)$ . $\newline$ $\log (3)+\log (5)$

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Math Problems

Algebra 2

Evaluate logarithms using properties

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Q. Rewrite the following in the form

\log (c)

\newline

\log (3)+\log (5)

Identify property for combining logarithms: $\log(3) + \log(5)$ $\newline$ Identify the property that can be used to combine the two logarithms. $\newline$ Sum of logarithms of two numbers equals the logarithm of their product. $\newline$ Product property: $\log(P) + \log(Q) = \log(P \times Q)$
Apply product property of logarithms: $\log(3) + \log(5)$ $\newline$ Apply the product property of logarithms to combine the two logs into one. $\newline$ $\log(3) + \log(5) = \log(3 \times 5)$
Calculate product of $3$ and $5$ : Calculate the product of $3$ and $5$ . $\newline$ $3 \times 5 = 15$ $\newline$ So, $\log(3 \times 5) = \log(15)$
Rewrite expression as single logarithm: Rewrite the expression as a single logarithm. $\newline$ $\log(3) + \log(5) = \log(15)$ $\newline$ This is the expression in the form $\log(c)$ .