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Condense the logarithm

log b+g log c
Answer:
log(◻)

Condense the logarithm $\newline$ $\log b+g \log c$ $\newline$ Answer: $\log (\square)$

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Convert between exponential and logarithmic form

Full solution

Q. Condense the logarithm

\newline

\log b+g \log c

\newline

Answer:

\log (\square)

Apply Logarithm Property: We have the expression $\log b + g \log c$ . According to the logarithm property $\log a + \log b = \log(ab)$ , we can combine these two logs into a single log.
Rewrite Term: First, we apply the property to the term $g \log c$ . This term can be rewritten as $\log(c^g)$ because multiplying a log by a number is equivalent to raising its argument to the power of that number.
Combine Logs: Now we have $\log b + \log(c^g)$ . Using the property $\log a + \log b = \log(ab)$ , we can combine these two logs into one.
Condensed Form: The combined logarithm is $\log(b c^{g})$ . This is the condensed form of the original expression.

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