Write the logarithmic equation in exponential form.

Question

log3 27 = 3
3^? = 27

Answer 1

To convert the logarithmic equation \( \log_3 27 = 3 \) into exponential form, we use the definition of logarithms, which states that if \( \log_b a = c \), then \( b^c = a \).

Applying this to your equation:

1. The base \( b \) is 3.
2. The number \( a \) is 27.
3. The result \( c \) is 3.

So we rewrite it as:

\[ 3^3 = 27 \]

Thus, the complete transformation of the logarithmic equation \( \log_3 27 = 3 \) into exponential form is:

\[ 3^3 = 27 \]