Logarithmic Equations Worksheet
This worksheet provides practice with solving various types of logarithmic equations, including those with different bases and requiring the use of logarithmic properties.
Includes
Standards
Logarithmic Equations Practice
Name:
Date:
Score:
Solve each logarithmic equation. Show all your work. Remember to check for extraneous solutions.
1. Solve for x: log₂(x) = 5
2. Solve for x: log₃(x - 2) = 4
3. If log(x) + log(x + 3) = 1, then x = .
4. The solution to log₅(x + 6) - log₅(x) = 2 is x = .
5. Which of the following is the solution to ln(x) = 3?
x = 3e
x = e³
x = ln(3)
x = 3/e
6. What is the value of x in the equation log₂(x) + log₂(x - 7) = 3?
x = 1
x = 8
x = -1
x = 8 and x = -1
7. Solve for x: log(x + 2) + log(x - 1) = 1 (Remember to check for extraneous solutions).
8. Solve for x: ln(e^(2x) - 3) = ln(e^x) + ln(2)
Related Worksheets
Change of Base Formula Worksheet
This worksheet focuses on applying the change of base formula for logarithms, essential for converting logarithms between different bases and evaluating them using calculators.
Logarithmic Expansion Practice
Expand logarithmic expressions using the properties of logarithms.
Logarithmic Function Manipulation Worksheet
Practice manipulating and evaluating logarithmic functions, including applying properties of logarithms and solving logarithmic equations.
Natural Logarithm Exploration
Explore the properties and applications of natural logarithms with this Grade 11 math worksheet.
Logarithmic to Exponential Conversion Worksheet
Convert logarithmic expressions to their equivalent exponential form and vice versa. This worksheet covers the fundamental concept of logarithmic to exponential conversion for Grade 11 mathematics students.
Logarithm Rules Worksheet
A Grade 11 mathematics worksheet focusing on understanding and applying the fundamental rules of logarithms, including product, quotient, and power rules.
Logarithmic Properties Worksheet
This worksheet focuses on understanding and applying the fundamental properties of logarithms for Grade 11 mathematics students.
Logarithm Word Problems
Practice solving real-world problems using logarithmic functions, including exponential growth and decay, pH calculations, and decibel measurements.