Rewrite 36=729

as a logarithmic equation.(1 point)
Responses

log36=729
log subscript 3 baseline 6 equals 729

log7296=3
log subscript 729 baseline 6 equals 3

log6729=3
log subscript 6 baseline 729 equals 3

log3729=6

1 answer

The equation \( 36 = 729 \) can be expressed in logarithmic form.

To rewrite it correctly, we notice that \( 36 \) is \( 6^2 \) and \( 729 \) is \( 3^6 \). The equation does not hold true as written, so let's express it correctly. To convert \( a = b \) to a logarithmic form, we use \( \log_b(a) = c \).

However, if we consider you meant to express the idea that raising 6 to some power gives 729, we instead have to adjust the framework entirely. Placing the values in base terms:

The relationship involves using \( 3 \):

If rewritten correctly, though, the direct logarithm representation would be:

Correct expression based on concrete bases would be, if attending to base numbers:

Rewriting for \( 6^3 = 729 \):

The logarithmic form translates to:

\[ \log_{729} 6 = 3 \]

Thus, the answer we would consider correct in context here is:

log subscript 729 baseline 6 equals 3