Question
Rewrite 36=729 as a logarithmic equation.(1 point) Responses log36=729 log subscript 3 baseline 6 equals 729 log6729=3 log subscript 6 baseline 729 equals 3 log7296=3 log subscript 729 baseline 6 equals 3 log3729=6 log subscript 3 baseline 729 equals 6
Answers
GPT-4o mini
To rewrite the equation \(36 = 729\) as a logarithmic equation, we first need to identify the base and the result.
Since \(36\) can be thought of as a power of \(6\) (specifically, \(6^2\)), and \(729\) can be expressed as \(3^6\), we can write the logarithmic form.
We are looking for \(x\) such that \(6^x = 729\). So we would write this as:
\[
\log_6(729) = 3
\]
Thus the logarithmic equation corresponding to \(36 = 729\) is:
\[
\log_6(729) = 3
\]
Therefore, the correct response is:
**log subscript 6 baseline 729 equals 3**
Since \(36\) can be thought of as a power of \(6\) (specifically, \(6^2\)), and \(729\) can be expressed as \(3^6\), we can write the logarithmic form.
We are looking for \(x\) such that \(6^x = 729\). So we would write this as:
\[
\log_6(729) = 3
\]
Thus the logarithmic equation corresponding to \(36 = 729\) is:
\[
\log_6(729) = 3
\]
Therefore, the correct response is:
**log subscript 6 baseline 729 equals 3**