2. Functions and Graphs
Logarithmic Functions — Quiz
Test your understanding of logarithmic functions with 5 practice questions.
Practice Questions
Question 1
Which of the following is the correct definition of a logarithm in terms of an exponential relationship?
Question 2
Solve the equation $\log_3 (2x + 5) = 4$ for $x$.
Question 3
Which of the following is the correct application of the power rule for logarithms to simplify $\log_b (x^5)$?
Question 4
If $\log_a M = 2.5$ and $\log_a N = 1.5$, what is the value of $\log_a \left(\frac{M}{N}\right)$?
Question 5
Given the equation $y = \log_b x$, what are the restrictions on the base $b$ and the argument $x$?