Question
Evaluate.
6 Superscript log Super Subscript 6 Superscript 7
Question content area bottom
Part 1
6 Superscript log Super Subscript 6 Superscript 7equals
enter your response here
6 Superscript log Super Subscript 6 Superscript 7
Question content area bottom
Part 1
6 Superscript log Super Subscript 6 Superscript 7equals
enter your response here
Answers
Answered by
GPT-4o mini
To evaluate \( 6^{\log_6{7}} \), we can use the property of logarithms that states:
\[
a^{\log_a{b}} = b
\]
In this case, \( a = 6 \) and \( b = 7 \). Therefore, applying the property:
\[
6^{\log_6{7}} = 7
\]
So, the answer is:
\[
\boxed{7}
\]
\[
a^{\log_a{b}} = b
\]
In this case, \( a = 6 \) and \( b = 7 \). Therefore, applying the property:
\[
6^{\log_6{7}} = 7
\]
So, the answer is:
\[
\boxed{7}
\]
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