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

Identify property for combining logarithms: log(3) + log(4) 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 to combine logarithms: log(3) + log(4) Apply the product property of logarithms to combine the two logs into one. log(3) + log(4) = log(3 * 4)Calculate product of numbers: Calculate the product of 3 and 4. 3 * 4 = 12Substitute product into logarithm: Substitute the product back into the logarithm. log(3 * 4) = log(12)Verify simplified form of expression: Verify that the expression is simplified and in the form log(c). The expression log(12) is indeed in the form log(c) where c = 12.

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Rewrite the following in the form
log(c).

log(3)+log(4)

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

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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 (4)

Identify property for combining logarithms: $\log(3) + \log(4)$ $\newline$ 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 to combine logarithms: $\log(3) + \log(4)$ $\newline$ Apply the product property of logarithms to combine the two logs into one. $\newline$ $\log(3) + \log(4) = \log(3 \times 4)$
Calculate product of numbers: Calculate the product of $3$ and $4$ . $\newline$ $3 \times 4 = 12$
Substitute product into logarithm: Substitute the product back into the logarithm. $\log(3 \times 4) = \log(12)$
Verify simplified form of expression: Verify that the expression is simplified and in the form $\log(c)$ . $\newline$ The expression $\log(12)$ is indeed in the form $\log(c)$ where $c = 12$ .