Write in logarithmic form. 27=3^3

Question

The logarithmic form is ____. (Use integers or fractions for any numbers in the expression.)

Answer 1

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:

\[ \log_3(27) = 3 \]