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Condense the logarithm

log d-7log k
Answer:
log(◻)

Condense the logarithm $\newline$ $\log d-7 \log k$ $\newline$ Answer: $\log (\square)$

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Convert between exponential and logarithmic form

Full solution

Q. Condense the logarithm

\newline

\log d-7 \log k

\newline

Answer:

\log (\square)

Rewrite second term: We are given the expression $\log(d) - 7\log(k)$ and we need to condense it into a single logarithm. $\newline$ According to the logarithm power rule, $\log_b(a^n) = n\log_b(a)$ , we can rewrite the second term as a logarithm of a power. $\newline$ $\log(d) - 7\log(k) = \log(d) - \log(k^7)$
Combine logarithms: Now, we can use the logarithm subtraction rule, which states that $\log_b(a) - \log_b(c) = \log_b(\frac{a}{c})$ , to combine the two logarithms into one. $\newline$ $\log(d) - \log(k^7) = \log(\frac{d}{k^7})$

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