Write the equation in its equivalent logarithmic form.
-$$13 ^ { x } = 169$$
A) $\log _ { 13 } 169 = x$
B) $\log _ { \mathrm { x } } 169 = 13$
C) $\log _ { 169 } 13 = x$
D) $\log _ { 169 } x = 13$

Question

Quizplus · Accepted Answer

Since we want to write the given equation in logarithmic form, we need to determine the base of the exponential expression, which is 13 in this case. Therefore, the logarithmic form should have a base of 13. Additionally, the result of the logarithmic expression should be equal to x, since x is the exponent in the original equation. Based on these considerations, we can see that answer choice A, $\log _ { 13 } 169 = x$, is the only option that satisfies these requirements.

Write the Equation in Its Equivalent Logarithmic Form 13x=16913 ^ { x } = 16913x=169

Write the Equation in Its Equivalent Logarithmic Form $13 ^ { x } = 169$