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$Express the given expression as an integer or as a fraction in simplest form. (10^(log 5)) Answer:$

Express the given expression as an integer or as a fraction in simplest form. $\newline$ $\left(10^{\log 5}\right)$ $\newline$ Answer:

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Evaluate rational exponents

Full solution

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

\newline

\left(10^{\log 5}\right)

\newline

Answer:

Understand Properties: Understand the properties of logarithms and exponents. $\newline$ The expression $(10^{\log_{10} 5})$ involves a base of $10$ and a logarithm with base $10$ . The property that applies here is that for any base $b$ and number $x$ , $b^{\log_b(x)} = x$ . This means that when the base of the exponentiation and the base of the logarithm are the same, the result is the number for which the logarithm is taken.
Apply Property: Apply the property to simplify the expression. $\newline$ Using the property from Step $1$ , we can simplify $(10^{\log 5})$ to just $5$ , because the base of the logarithm and the exponentiation is the same (base $10$ ). $\newline$ $(10^{\log 5}) = 5$

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