Condense the logarithm 5log b+3log r Answer: log(◻)

Identify Property: Identify the property used to condense the logarithm. When you have a coefficient in front of a logarithm, you can use the power property to move the coefficient inside the logarithm as an exponent of the argument. Power Property: n * log_b (P) = log_b (P^n)Apply Power Property: Apply the power property to each term. For the first term, 5log b, we apply the power property to get log(b^5). For the second term, 3log r, we apply the power property to get log(r^3).Combine Using Product Property: Combine the two logarithms into one using the product property. Product Property: log_b P + log_b Q = log_b (P * Q) Combine log(b^5) and log(r^3) using the product property to get log(b^5 * r^3).

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Condense the logarithm

5log b+3log r
Answer:
log(◻)

Condense the logarithm $\newline$ $5 \log b+3 \log r$ $\newline$ Answer: $\log (\square)$

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Algebra 2

Quotient property of logarithms

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Q. Condense the logarithm

\newline

5 \log b+3 \log r

\newline

Answer:

\log (\square)

Identify Property: Identify the property used to condense the logarithm. $\newline$ When you have a coefficient in front of a logarithm, you can use the power property to move the coefficient inside the logarithm as an exponent of the argument. $\newline$ Power Property: $n \cdot \log_b (P) = \log_b (P^n)$
Apply Power Property: Apply the power property to each term. $\newline$ For the first term, $5\log b$ , we apply the power property to get $\log(b^5)$ . $\newline$ For the second term, $3\log r$ , we apply the power property to get $\log(r^3)$ .
Combine Using Product Property: Combine the two logarithms into one using the product property. $\newline$ Product Property: $\log_b P + \log_b Q = \log_b (P \times Q)$ $\newline$ Combine $\log(b^5)$ and $\log(r^3)$ using the product property to get $\log(b^5 \times r^3)$ .