Practice - Natural Logarithms
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Practice Questions
Test your understanding with targeted questions
Evaluate ln(1). What is the value?
💡 Hint: Remember what exponent results in 1 when using base e.
Is ln(e) equal to 1 or 0?
💡 Hint: Think about what exponent of e gives you e.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What is ln(e)?
💡 Hint: Think about what exponent base e produces.
True or False: ln(0) is defined.
💡 Hint: Consider the properties of logarithms.
1 more question available
Challenge Problems
Push your limits with advanced challenges
If a population grows continuously at a rate of 3% per year, how long will it take for it to double?
💡 Hint: Start by isolating t in the equation after applying natural logarithms.
Solve for x if ln(x) + ln(x - 1) = 1.
💡 Hint: Rearranging the equation is key to solving it.
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