Practice - Solving Logarithmic Equations
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Practice Questions
Test your understanding with targeted questions
Convert the equation \( 2^x = 16 \) to logarithmic form.
💡 Hint: Think about how many times you can multiply 2 to get 16.
What is \( log(100) \) in terms of its base?
💡 Hint: Remember, 10 raised to what power is 100?
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is \( log_2(8) \)?
💡 Hint: How many times do you multiply 2 to get 8?
True or False: \( log(x) \) is defined for x < 0.
💡 Hint: Consider the domain of logarithms.
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Challenge Problems
Push your limits with advanced challenges
Solve \( log(3x+2) = 2 + log(x-1) \) and verify your solutions.
💡 Hint: Don’t forget to check the validity of solutions.
If \( log(x^2 + 1) = 3 \) what is x? Include all steps to show verification.
💡 Hint: Make sure to confirm x’s domain.
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Reference links
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