Condense the logarithm x log b+7log k Answer: log(◻)

Identify Properties: Identify the properties of logarithms that can be used to condense the expression. The expression x log b + 7 log k can be condensed using the power property of logarithms, which states that n * log_b(a) = log_b(a^n).Apply Power Property: Apply the power property to each term in the expression. For the first term, x log b, we can write it as log(b^x). For the second term, 7 log k, we can write it as log(k^7).Combine Using Product Property: Combine the two logarithms into a single logarithm using the product property. The product property of logarithms states that log_b(u) + log_b(v) = log_b(uv). Therefore, we can combine the two terms to get log(b^x * k^7).

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Condense the logarithm

x log b+7log k
Answer:
log(◻)

Condense the logarithm $\newline$ $x \log b+7 \log k$ $\newline$ Answer: $\log (\square)$

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Algebra 2

Product property of logarithms

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Q. Condense the logarithm

\newline

x \log b+7 \log k

\newline

Answer:

\log (\square)

Identify Properties: Identify the properties of logarithms that can be used to condense the expression. $\newline$ The expression $x \log b + 7 \log k$ can be condensed using the power property of logarithms, which states that $n \cdot \log_b(a) = \log_b(a^n)$ .
Apply Power Property: Apply the power property to each term in the expression. $\newline$ For the first term, $x \log b$ , we can write it as $\log(b^x)$ . $\newline$ For the second term, $7 \log k$ , we can write it as $\log(k^7)$ .
Combine Using Product Property: Combine the two logarithms into a single logarithm using the product property. $\newline$ The product property of logarithms states that $\log_b(u) + \log_b(v) = \log_b(uv)$ . $\newline$ Therefore, we can combine the two terms to get $\log(b^x \cdot k^7)$ .