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Write the expression
ln 2+ln 3 as a single logarithm in simplest form without any negative exponents.
Answer:
ln(◻)

Write the expression $\ln 2+\ln 3$ as a single logarithm in simplest form without any negative exponents. $\newline$ Answer: $\ln (\square)$

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Change of base formula

Full solution

Q. Write the expression

\ln 2+\ln 3

as a single logarithm in simplest form without any negative exponents.

\newline

Answer:

\ln (\square)

Apply logarithm product rule: Apply the logarithm product rule. $\newline$ The logarithm product rule states that the sum of two logarithms with the same base is equal to the logarithm of the product of their arguments. $\newline$ So, $\ln 2 + \ln 3$ can be combined into a single logarithm as follows: $\newline$ $\ln(2 \times 3)$
Perform multiplication inside logarithm: Perform the multiplication inside the logarithm. $\newline$ Now, we multiply the numbers inside the logarithm to simplify the expression. $\newline$ $2 \times 3 = 6$ $\newline$ So, $\ln(2 \times 3)$ becomes $\ln(6)$ .
Write final answer: Write the final answer. $\newline$ The expression $\ln 2 + \ln 3$ has been simplified to $\ln(6)$ without any negative exponents.

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