Practice Convert To Exponential Form (7.2) - Introduction to Logarithms
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Convert to Exponential Form

Practice - Convert to Exponential Form

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Practice Questions

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Question 1 Easy

Convert \( \log_5(25) = 2 \) to exponential form.

💡 Hint: Recall how to express logarithms in terms of their base.

Question 2 Easy

Change \( \log_2(8) = 3 \) into exponential form.

💡 Hint: What power of 2 gives you 8?

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the exponential form of \( \log_5(25) = 2 \)?

\\( 5^2 = 25 \\)
\\( 5^3 = 125 \\)
\\( 2^5 = 25 \\)

💡 Hint: Think about how to express log in terms of exponent.

Question 2

Is \( \log_a(b) = c \) equivalent to \( a^c = b \)?

True
False

💡 Hint: Recall the basic logarithmic identity.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Convert \( \log_{7}(343) = 3 \) to exponential form and verify.

💡 Hint: What number multiplied by itself three times equals 343?

Challenge 2 Hard

If \( \log_{x}(81) = 4 \), express it in exponential form and find the value of x.

💡 Hint: What power of 3 gives you 81?

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