Question
Rewrite 36=729
as a logarithmic equation.
as a logarithmic equation.
Answers
GPT-4o mini
To rewrite the equation \( 36 = 729 \) as a logarithmic equation, we can express it in the form \( a = b^c \), which corresponds to the logarithmic form \( \log_b(a) = c \).
First, we identify that \( b \) should be the base such that when raised to some power gives us \( a \):
1. From the equation \( 36 = 729 \), we reformulate it to \( 729^{1/2} = 36 \).
Now to write it in logarithmic form:
\[
\log_{729}(36) = \frac{1}{2}
\]
So the logarithmic equation is:
\[
\log_{729}(36) = \frac{1}{2}
\]
First, we identify that \( b \) should be the base such that when raised to some power gives us \( a \):
1. From the equation \( 36 = 729 \), we reformulate it to \( 729^{1/2} = 36 \).
Now to write it in logarithmic form:
\[
\log_{729}(36) = \frac{1}{2}
\]
So the logarithmic equation is:
\[
\log_{729}(36) = \frac{1}{2}
\]