Master Solving Logarithmic Equations using the quotient property of logarithms

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Mathematics
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11th Grade - University
•
Hard
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7 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the main objective when solving logarithmic equations using the quotient property?
To divide the logarithms
To multiply the logarithms
To add logarithms on both sides
To isolate the logarithm and convert it to exponential form
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
When using the quotient property, what is the first step after isolating the logarithm?
Add a constant to both sides
Multiply both sides by a variable
Subtract a constant from both sides
Convert it to exponential form
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the example problem, what is the value of X when solving log base 2 of (X + 2) / (X - 5) = 3?
7
8
6
5
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What property is used when logarithms are present on both sides of the equation?
Power property
Quotient property
One-to-one property
Product property
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the solution for X in the equation log base 10 of (X + 4) / 2 = log base 10 of (5X + 1)?
2/9
4/7
1/3
3/5
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
When solving a quadratic logarithmic equation, what method can be used if factoring is not possible?
Using the quadratic formula
Completing the square
Using synthetic division
Graphing the equation
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the approximate positive solution for X in the quadratic equation discussed in the last section?
4.0
3.2
2.4
1.6
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