Rewrite the following in the form log(c). log(2)+log(3)

Identify Property: Identify the property of logarithm used to combine log(2) and log(3). The sum of two logarithms with the same base can be combined using the product property of logarithms.Apply Property: Apply the product property to combine log(2) and log(3). According to the product property, log(a) + log(b) = log(ab). Therefore, log(2) + log(3) = log(2 * 3).Perform Multiplication: Perform the multiplication inside the logarithm. Calculate the product of 2 and 3. 2 * 3 = 6.Write Final Expression: Write the final expression using the result from Step 3. The combined logarithm is log(6).

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Rewrite the following in the form
log(c).

log(2)+log(3)

Rewrite the following in the form $\log (c)$ . $\newline$ $\log (2)+\log (3)$

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Algebra 2

Evaluate logarithms using properties

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Q. Rewrite the following in the form

\log (c)

\newline

\log (2)+\log (3)

Identify Property: Identify the property of logarithm used to combine $\log(2)$ and $\log(3)$ . The sum of two logarithms with the same base can be combined using the product property of logarithms.
Apply Property: Apply the product property to combine $\log(2)$ and $\log(3)$ . According to the product property, $\log(a) + \log(b) = \log(ab)$ . Therefore, $\log(2) + \log(3) = \log(2 \times 3)$ .
Perform Multiplication: Perform the multiplication inside the logarithm. $\newline$ Calculate the product of $2$ and $3$ . $\newline$ $2 \times 3 = 6$ .
Write Final Expression: Write the final expression using the result from Step $3$ . $\newline$ The combined logarithm is $\log(6)$ .