Understanding Logarithms and Exponents

The video tutorial explains the relationship between logarithms and exponents. It begins by discussing exponents, using '3 to the power of 4' as an example, and then introduces logarithms, showing how they can express the same concept. The tutorial provides a problem-solving example with 'log of 125 to the base 5' and offers additional practice problems, emphasizing the conversion between logarithmic and exponential forms.

What is the result of 3 raised to the power of 4?

• 81

• 9

• 27

• 64

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CCSS.HSF.BF.B.5

In the expression log base 3 of 81 equals 4, what is the base?

• 81

• 3

• 4

• 9

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CCSS.HSF.BF.B.5

What does the expression log base 3 of 81 equals 4 ask?

• 3 raised to what power gives 81?

• 3 times 81 equals what?

• 4 raised to what power gives 81?

• 81 raised to what power gives 3?

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CCSS.HSF.BF.B.5

If log base 5 of 125 equals x, what is the value of x?

• 3

• 2

• 4

• 5

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CCSS.HSF.BF.B.5

How can you express log base 5 of 125 equals x in exponential form?

• 5^125 = x

• x^5 = 125

• 125^x = 5

• 5^x = 125

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CCSS.6.EE.A.1

What is 5 raised to the power of 3?

• 15

• 25

• 125

• 75

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CCSS.HSF.LE.A.4

In the expression 2 raised to x equals 32, what is the value of x?

• 6

• 5

• 4

• 3

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CCSS.8.EE.A.1

What is the result of 4 raised to the power of 0?

• 0

• 1

• Infinity

• 4

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CCSS.8.EE.A.1

Which property of exponents states that any non-zero number raised to the power of 0 equals 1?

• Negative Exponent Rule

• Power of a Power

• Product of Powers

• Zero Exponent Rule

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CCSS.HSF.BF.B.5

What is the exponential form of log base 2 of 32 equals x?

• x^2 = 32

• 32^x = 2

• 2^32 = x

• 2^x = 32

Tags

CCSS.HSF.BF.B.5