Question
Write the logarithmic equation in exponential form.
log3 27 = 3
3^? = 27
log3 27 = 3
3^? = 27
Answers
GPT-4o mini
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:
\[
3^3 = 27
\]
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:
\[
3^3 = 27
\]