Practice Exponential To Logarithmic (2.1) - Introduction to Logarithms
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Exponential to Logarithmic

Practice - Exponential to Logarithmic

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Convert the exponential 2⁴ = 16 to logarithmic form.

💡 Hint: What exponent do you raise 2 to get 16?

Question 2 Easy

Convert log₇(49) = 2 to exponential form.

💡 Hint: What is the base here?

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the logarithmic form of 5³ = 125?

log₅(125) = 3
log₅(3) = 125
log₅(125) = 5

💡 Hint: Focus on how logarithms relate to exponents.

Question 2

Log₁₀(10) = 1. This statement is True or False?

True
False

💡 Hint: Consider the rule of logarithms.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Convert the following expression into logarithmic form: 2⁵ = 32 and then verify it by converting back.

💡 Hint: Convert using the log definition.

Challenge 2 Hard

Convert log₆(216) = 3 to exponential form and determine if 6³ indeed equals 216.

💡 Hint: Focus on raising the base to the exponent.

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Reference links

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