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$Express the given expression as an integer or as a fraction in simplest form. log_(3)(3^((1)/(2))) Answer:$

Express the given expression as an integer or as a fraction in simplest form. $\newline$ $\log _{3}\left(3^{\frac{1}{2}}\right)$ $\newline$ Answer:

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Quotient property of logarithms

Full solution

Q. Express the given expression as an integer or as a fraction in simplest form.

\newline

\log _{3}\left(3^{\frac{1}{2}}\right)

\newline

Answer:

Understand the property: Understand the logarithm property. $\newline$ The logarithm property states that $\log_b(b^x) = x$ , where $b$ is the base of the logarithm and $x$ is the exponent.
Apply the property: Apply the logarithm property to the given expression. $\newline$ We have $\log_3(3^{\frac{1}{2}})$ . According to the property from Step $1$ , this simplifies to $\frac{1}{2}$ because the base of the logarithm ( $3$ ) is the same as the base of the exponent ( $3$ ).
Write final answer: Write the final answer. $\newline$ The expression $\log_3(3^{\frac{1}{2}})$ simplifies to $\frac{1}{2}.$

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