2
QuizMultiple Choice

Graphing Logarithmic Functions — Quiz

Question 2 • Mathematics III

Which of the following is the inverse of y is equal to 3 to the x th power ?

Answer
A
y is equal to the log base 1 third of x
B
y is equal to the log base 3 of x
C
y is equal to the fraction with numerator 1 and denominator 3 to the x th power
D
y is equal to 1 third to the x th power

Explanation

To find the inverse, swap x and y in y = 3^x, giving x = 3^y. Solving for y gives y = log base 3 of x. Therefore, the inverse is choice B, y is equal to the log base 3 of x.

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