Question

What is the logarithmic form of 12² = 144 ?

a. log⁡₂12=144
b. log⁡₁₄₄2=12
c. log⁡₂144=12
d. log⁡₁₂144=2

Answer 1

The logarithmic form of the equation 12² = 144 is log₁₂₁₄₄ = 2, which corresponds to option d in the question.

Step-by-step explanation:

The logarithmic form of the equation 122 = 144 is written by expressing the exponent as the result of a logarithmic operation. To convert to logarithmic form, we identify the base of the exponent (which is 12 in this case), the exponent itself (which is 2), and the result (which is 144). The base becomes the base of the logarithm, the result is the number for which we are taking the logarithm, and the exponent is the logarithm value. Therefore, the equation in logarithmic form is log12144 = 2. This matches option d: log12144 = 2.