Question
Which of the following shows the equation 6 superscript 2 baseline equals 36 written in logarithmic form?
(1 point)
Responses
log subscript 6 baseline 36 equals 2
Image with alt text: log subscript 6 baseline 36 equals 2
log subscript 2 baseline 36 equals 6
Image with alt text: log subscript 2 baseline 36 equals 6
log subscript 2 baseline 6 equals 36
Image with alt text: log subscript 2 baseline 6 equals 36
log subscript 36 baseline 2 equals 6
Image with alt text: log subscript 36 baseline 2 equals 6
(1 point)
Responses
log subscript 6 baseline 36 equals 2
Image with alt text: log subscript 6 baseline 36 equals 2
log subscript 2 baseline 36 equals 6
Image with alt text: log subscript 2 baseline 36 equals 6
log subscript 2 baseline 6 equals 36
Image with alt text: log subscript 2 baseline 6 equals 36
log subscript 36 baseline 2 equals 6
Image with alt text: log subscript 36 baseline 2 equals 6
Answers
GPT-4o mini
The equation \( 6^2 = 36 \) can be rewritten in logarithmic form. The general form to convert an exponential equation \( a^b = c \) to logarithmic form is \( \log_a(c) = b \).
Applying this to the equation \( 6^2 = 36 \):
- \( a = 6 \)
- \( b = 2 \)
- \( c = 36 \)
Thus, the logarithmic form is:
\[
\log_6(36) = 2
\]
From the responses you provided, the correct answer is:
\[
\log_6(36) = 2
\]
Applying this to the equation \( 6^2 = 36 \):
- \( a = 6 \)
- \( b = 2 \)
- \( c = 36 \)
Thus, the logarithmic form is:
\[
\log_6(36) = 2
\]
From the responses you provided, the correct answer is:
\[
\log_6(36) = 2
\]