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Condense the logarithm

log a+z log g
Answer:
log(◻)

Condense the logarithm $\newline$ $\log a+z \log g$ $\newline$ Answer: $\log (\square)$

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Convert between exponential and logarithmic form

Full solution

Q. Condense the logarithm

\newline

\log a+z \log g

\newline

Answer:

\log (\square)

Question Prompt: Question prompt: What is the condensed form of the logarithm expression given by ＂ $\log a + z \log g$ ＂?
Recognize Properties: Recognize the properties of logarithms that can be used to condense the expression. The property that allows us to combine two logarithms with the same base and a multiplication between their arguments when they are being added is the product property of logarithms: $\log_b(m) + \log_b(n) = \log_b(m*n)$ .
Apply Product Property: Apply the product property to the given logarithmic expression. $\newline$ We have $\log a + z \log g$ , which can be rewritten using the product property as $\log(a * g^z)$ .
Check for Simplifications: Check for any possible simplifications. In this case, there are no further simplifications that can be made to the expression $\log(a \cdot g^z)$ .

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