Condense the logarithm 5log d+log x Answer: log(◻)

Apply Power Rule: Apply the power rule of logarithms to the term 5log d. The power rule states that a*log_b(c) = log_b(c^a). Therefore, we can rewrite 5log d as log(d^5). Calculation: 5log d = log(d^5)Combine Logarithmic Terms: Combine the two logarithmic terms using the product rule. The product rule of logarithms states that log_b(m) + log_b(n) = log_b(m*n). Therefore, we can combine log(d^5) and log x into a single logarithm. Calculation: log(d^5) + log x = log(d^5 * x)Write Final Answer: Write the final answer. The expression 5log d + log x has been condensed into log(d^5 * x).

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Condense the logarithm

5log d+log x
Answer:
log(◻)

Condense the logarithm $\newline$ $5 \log d+\log x$ $\newline$ Answer: $\log (\square)$

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Precalculus

Convert between exponential and logarithmic form

Full solution

Q. Condense the logarithm

\newline

5 \log d+\log x

\newline

Answer:

\log (\square)

Apply Power Rule: Apply the power rule of logarithms to the term $5\log d$ . The power rule states that $a\log_b(c) = \log_b(c^a)$ . Therefore, we can rewrite $5\log d$ as $\log(d^5)$ . Calculation: $5\log d = \log(d^5)$
Combine Logarithmic Terms: Combine the two logarithmic terms using the product rule. $\newline$ The product rule of logarithms states that $\log_b(m) + \log_b(n) = \log_b(m*n)$ . Therefore, we can combine $\log(d^5)$ and $\log x$ into a single logarithm. $\newline$ Calculation: $\log(d^5) + \log x = \log(d^5 * x)$
Write Final Answer: Write the final answer. $\newline$ The expression $5\log d + \log x$ has been condensed into $\log(d^5 \times x)$ .