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 answer

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: \[ \log_6(36) = 2 \]