5
QuizMultiple Choice

Graphing Logarithmic Functions — Quiz

Question 5 • Mathematics III

Which statement is true?

Answer
A
y is equal to the log base 10 of x is not a logarithmic function because the base is greater than 0 .
B
y is equal to the log base square root of 3 of x is not a logarithmic function because the base is a square root.
C
y is equal to the log base 1 of x is not a logarithmic function because the base is equal to 1 .
D
y is equal to the log base 3 fourths of x is not a logarithmic function because the base is a fraction.

Explanation

A logarithmic function must have a base greater than 0 and not equal to 1. The base 1 is not allowed, so y = log base 1 of x is not a logarithmic function. The other listed bases—3/4, 10, and √3—are positive and different from 1, so those statements give invalid reasons.

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