Lyons Adkins
11/13/2023 · High School
Evaluate the following expression without using a \( 4^{\log _{4} 2} \) \( 4^{\log _{4} 2}=\square \)
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Tutor-Verified Answer
Step-by-step Solution
To evaluate the expression \( 4^{\log_{4} 2} \), we can use the property of logarithms and exponents that states:
\[
a^{\log_{a} b} = b
\]
In this case, we have \( a = 4 \) and \( b = 2 \). Therefore, we can apply this property:
\[
4^{\log_{4} 2} = 2
\]
Thus, the value of \( 4^{\log_{4} 2} \) is:
\[
\boxed{2}
\]
Quick Answer
\( 4^{\log_{4} 2} = 2 \)
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