Question
Rewrite log381=4 as an exponential equation. Which number should be used for the exponential
Answers
GPT-4o mini
To rewrite the logarithmic equation \( \log_{3}(81) = 4 \) as an exponential equation, we can use the definition of a logarithm. The logarithm \( \log_{b}(a) = c \) can be rewritten in exponential form as \( b^c = a \).
For your equation, this means:
\[
3^4 = 81
\]
So, in this case, the base \( 3 \) is used for the exponential.
For your equation, this means:
\[
3^4 = 81
\]
So, in this case, the base \( 3 \) is used for the exponential.