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.
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Logarithmic Equations Practice
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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)
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