Logarithmic Expressions and Properties

Logarithmic Expressions and Properties

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

Created by

Thomas White

FREE Resource

The video tutorial explains how to condense a logarithmic expression into a single logarithm. It begins with an introduction to the expression and applies the power rule to simplify it. The expression is then rewritten as a quotient, and properties of exponents are discussed. Finally, the expression is further simplified to achieve the final condensed form.

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15 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the initial expression given in the problem?

1/2 * 3 log base 2 of x - 2 log base 2 of z

1/2 * log base 2 of x - log base 2 of z

log base 2 of x^3 - log base 2 of z^2

log base 2 of x/z

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in simplifying the expression?

Combine the logarithms

Use the power rule

Apply the quotient rule

Factor out common terms

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is the expression rewritten using the power rule?

log base 2 of x^3 - log base 2 of z^2

log base 2 of x^3 * z^2

log base 2 of x^3 / z^2

log base 2 of x^3 + log base 2 of z^2

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the next step after applying the power rule?

Add the logarithms

Rewrite as a quotient

Divide the logarithms

Multiply the logarithms

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is the expression rewritten as a quotient?

log base 2 of x^3 / z^2

log base 2 of x^3 - z^2

log base 2 of x^3 * z^2

log base 2 of x^3 + z^2

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is done with the 1/2 in the expression?

It is subtracted from the expression

It is added to the expression

It is multiplied with the expression

It is applied as a power to the expression

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What property of exponents is used in the simplification?

x^a * x^b = x^(a+b)

(x/y)^a = x^a / y^a

x^a / x^b = x^(a-b)

(x^a)^b = x^(a*b)

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