Converting between logarithmic form to exponential

Converting between logarithmic form to exponential

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains the process of converting logarithms to exponential form. It begins with an introduction to the importance of conversions, followed by a detailed example using log base 32 of 4. The instructor demonstrates how to convert this logarithm into its exponential form by raising 32 to the power of 2/5 to equal 4. The tutorial concludes with a summary of the conversion process.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of log base 32 of 4?

2/5

5/2

3/4

1/2

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you convert a logarithm to its exponential form?

By multiplying the base with the logarithm

By adding the base to the logarithm

By dividing the base by the logarithm's result

By raising the base to the power of the logarithm's result

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the exponential form of log base 32 of 4?

4^32 = 2/5

32^2/5 = 4

2/5^32 = 4

32^4 = 2/5

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the purpose of converting logarithms to exponential form?

To simplify the logarithm

To solve equations involving logarithms

To change the base of the logarithm

To find the derivative of the logarithm

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is true about the conversion process discussed?

It is only useful for complex numbers

It can be used for any logarithm

It is not applicable to real-world problems

It only applies to base 10 logarithms