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

Apply Power Rule: We are given the expression 3log a + log c and we need to condense it into a single logarithm. According to the properties of logarithms, specifically the power rule, we can rewrite the term 3log a as log a^3.Apply Product Rule: Now we have log a^3 + log c. According to the properties of logarithms, specifically the product rule, we can combine these two logarithms into one by multiplying the arguments. log a^3 + log c = log(a^3 * c)Final Answer: We have successfully condensed the logarithm into a single expression. The final answer is log(a^3 * c).

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Condense the logarithm

3log a+log c
Answer:
log(◻)

Condense the logarithm $\newline$ $3 \log a+\log c$ $\newline$ 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 c

\newline

Answer:

\log (\square)

Apply Power Rule: We are given the expression $3\log a + \log c$ and we need to condense it into a single logarithm. $\newline$ According to the properties of logarithms, specifically the power rule, we can rewrite the term $3\log a$ as $\log a^3$ .
Apply Product Rule: Now we have $\log a^3 + \log c$ . According to the properties of logarithms, specifically the product rule, we can combine these two logarithms into one by multiplying the arguments. $\log a^3 + \log c = \log(a^3 \cdot c)$
Final Answer: We have successfully condensed the logarithm into a single expression. The final answer is $\log(a^3 \cdot c)$ .