How to Solve Logarithmic & Exponential Inequalities


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question 1 of 3

Taking the logarithm base 10 of both sides of 3x = 2.7, gives _____.

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1. Raising both sides of log x = 3 to the power of 10 gives _____.

2. Which of the following values for x will satisfy 2x < 20 ?

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About This Quiz & Worksheet

Test what you know about solving logarithmic and exponential inequalities with this quiz and worksheet. You'll review your understanding of how to work with functions that are not equal on both sides.

Quiz & Worksheet Goals

This quiz and worksheet let you review what you know about:

  • The steps to solving logarithmic and exponential inequalities
  • Raising both sides of a log
  • Finding values for unequal functions

Skills Practiced

  • Information recall - see if you can remember how to solve functions that are unequal
  • Knowledge application - review what you know exponents to answer questions about what happens to a log when raising both sides by a power
  • Problem solving - using what you know about solving logarithmic and exponential inequalities to solve these types of problems

Additional Learning

If you need more insight to this topic, read the accompanying lesson, How to Solve Logarithmic & Exponential Inequalities. You'll review:

  • A real-world example
  • The four types of inequalities
  • Steps to solving exponential inqualities
  • The inverse operation of exponentials
  • Sample problems