Condense the logarithm 3log a+log k Answer: log(◻)

Apply Logarithm Power Rule: We are given the logarithmic expression 3log a + log k and we need to condense it into a single logarithm. According to the logarithm power rule, which states that n * log_b(x) = log_b(x^n), we can rewrite 3log a as log a^3.Apply Logarithm Product Rule: Now we have log a^3 + log k. According to the logarithm product rule, which states that log_b(x) + log_b(y) = log_b(xy), we can combine these two logarithms into one. So, log a^3 + log k becomes log(a^3 * k).Final Condensed Form: We have successfully condensed the logarithm into a single expression without making any mathematical errors. The final condensed form is log(a^3 * k).

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Condense the logarithm

3log a+log k
Answer:
log(◻)

Condense the logarithm $\newline$ $3 \log a+\log k$ $\newline$ Answer: $\log (\square)$

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Precalculus

Convert between exponential and logarithmic form

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Q. Condense the logarithm

\newline

3 \log a+\log k

\newline

Answer:

\log (\square)

Apply Logarithm Power Rule: We are given the logarithmic expression $3\log a + \log k$ and we need to condense it into a single logarithm. $\newline$ According to the logarithm power rule, which states that $n \cdot \log_b(x) = \log_b(x^n)$ , we can rewrite $3\log a$ as $\log a^3$ .
Apply Logarithm Product Rule: Now we have $\log a^3 + \log k$ . According to the logarithm product rule, which states that $\log_b(x) + \log_b(y) = \log_b(xy)$ , we can combine these two logarithms into one. $\newline$ So, $\log a^3 + \log k$ becomes $\log(a^3 \cdot k)$ .
Final Condensed Form: We have successfully condensed the logarithm into a single expression without making any mathematical errors. $\newline$ The final condensed form is $\log(a^3 \cdot k)$ .