Write the equation in its equivalent logarithmic form.
-$$13 ^ { 2 } = y$$
A) $\log _ { 13 } \mathrm { y } = 2$
B) $\log _ { 2 } y = 13$
C) $\log _ { y } 13 = 2$
D) $\log _ { y } 2 = 13$

Question

Quizplus · Accepted Answer

The logarithmic form of an exponential equation of the form $a^x = y$ is $\log_a y = x$. Therefore, the equivalent logarithmic form of $13^2 = y$ is $\log_{13} y = 2$. Choice B is incorrect because the base of the logarithm should match the base of the exponential term. Choices C and D are also incorrect because the placement of the base and the exponent are flipped.

Write the Equation in Its Equivalent Logarithmic Form 132=y13 ^ { 2 } = y132=y

Write the Equation in Its Equivalent Logarithmic Form $13 ^ { 2 } = y$