AP® Precalculus: Logarithmic Expressions — Drill 1

About This Drill

AP® Precalculus: Logarithmic Expressions — Drill 1 is a Math practice drill covering logarithmic-expressions. It contains 5 original questions created by Brian Stewart, a Barron's test prep author with over 20 years of tutoring experience.

Sharpen your logarithm skills for the AP® Precalculus exam with these five targeted practice questions. Topics include converting between exponential and logarithmic form, evaluating logarithms, applying the product, quotient, and power rules, and condensing or expanding logarithmic expressions.

Questions in This Drill

1. Which of the following is equivalent to the equation \( 5^3 = 125 \)?
2. What is the value of \( \log_4 \frac{1}{64} \)?
3. Which of the following is equivalent to \( \log_2 (8x^4) \)?
4. The table below gives values of log_b(x) for selected values of x.
   
   

   x	log_b(x)
   2	0.43
   3	0.68
   5	1.00
   6	1.11

   
   Using the table, what is the value of log_b(12)?
5. A student claims that \( 2\ln x + \ln 3 - \ln x = \ln(3x) \). Which of the following best describes whether the student's claim is correct?