Applying the power rule of logarithms to solve the equation, 3log7 (4) = 2log7 (b)

Applying the power rule of logarithms to solve the equation, 3log7 (4) = 2log7 (b)

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains the property of equality and how it is not isolated due to multiplication by constants. It introduces the product property of logarithms to rewrite expressions, demonstrating how to equate logarithms and solve the resulting equation. The tutorial concludes with a recap of the key concepts covered.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main challenge when dealing with logarithmic expressions that are not isolated?

They cannot be divided.

They are being multiplied by constants.

They are already simplified.

They are difficult to multiply.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which property allows you to rewrite logarithmic expressions by using exponents?

Equality Property

Product Property

Power Property

Quotient Property

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can you express log base N of X using the property of M?

As a sum of logs

As an exponent

As a product of logs

As a quotient of logs

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of equating log base 7 of 4 cubed to log base 7 of B squared?

4 = B

64 = B

64 = B^2

4^3 = B

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What mathematical operation is used to solve the equation 64 = B^2?

Addition

Subtraction

Multiplication

Square root