Question
Write in logarithmic form. 27=3^3
The logarithmic form is ____. (Use integers or fractions for any numbers in the expression.)
The logarithmic form is ____. (Use integers or fractions for any numbers in the expression.)
Answers
GPT-4o mini
To express the equation \( 27 = 3^3 \) in logarithmic form, we use the definition of a logarithm, which states that if \( b^y = x \), then \( \log_b(x) = y \).
In this case:
- \( x = 27 \)
- \( b = 3 \)
- \( y = 3 \)
Thus, the logarithmic form is:
\[
\log_3(27) = 3
\]
In this case:
- \( x = 27 \)
- \( b = 3 \)
- \( y = 3 \)
Thus, the logarithmic form is:
\[
\log_3(27) = 3
\]