Logarithms

You may want to review the knowledge about logarithmic functions by reading this page:
Logarithmic Functions, and then do the following self-testing quizzes.

Self-Testing Quizzes

1. \(log_{b} k = x\) means

k is the base-b logarithm of x. \(b^x = k\) x is a binary logarithm of k x is the natural logarithm of k.

2. Which of the following is untrue?

\(log_{a} 1 = 1\) \(log_{a} a = 1\) \(log_{a} x^y = ylog_{a} x\) \(log_{a} xy = log_{a} x + log_{a} y\)

3.Which of the following is untrue?

\(log_{a} \frac{x}{y} = log_{a} x - log_{a} y\). \(a^{log_{b} x} = x^{log_{b} a} \) \(log_{a} x = \frac{log_{b} x}{log_{b} a} \) \(log_{a} \frac{1}{x} = \frac{1}{log_{a} x} \)

4. Which the following about the end behavior of a logarithmic function as x get very large is untrue?

It grows slowly. It goes towards infinity. It approaches 0 It goes towards negative infinity.

Your grade is: __

Mathematical Preliminaries for COMP372 Algorithms

Logarithms

Self-Testing Quizzes

1. \(log_{b} k = x\) means

2. Which of the following is untrue?

3.Which of the following is untrue?

4. Which the following about the end behavior of a logarithmic function as x get very large is untrue?