What is the initial expression given in the problem?

Logarithmic Expressions and Properties

Interactive Video
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Mathematics
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9th - 10th Grade
•
Hard

Thomas White
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15 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
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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