Logarithmic Equations and Their Solutions
Interactive Video
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
Standards-aligned
Aiden Montgomery
FREE Resource
Standards-aligned
Read more
10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the initial step when solving a logarithmic equation with multiple logs?
Convert each log to an exponential form
Subtract the logs from each other
Combine the logs into a single log
Add a constant to each log
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the first equation, how are the logs combined?
By subtracting the number parts
By multiplying the number parts
By dividing the number parts
By adding the number parts
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What type of equation is formed after combining the logs in the first equation?
Linear equation
Exponential equation
Quadratic equation
Cubic equation
Tags
CCSS.HSA-REI.B.4B
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What are the factors of the quadratic equation derived from the first logarithmic equation?
(x + 4) and (x - 3)
(x - 4) and (x + 3)
(x + 3) and (x - 2)
(x - 3) and (x + 2)
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why is x = -4 not a valid solution for the first equation?
It results in a zero logarithm
It results in a negative logarithm
It results in a complex number
It results in an undefined value
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the valid solution for the first equation?
x = 0
x = 3
x = 7
x = -4
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the second equation, what type of logs are combined?
Common logs
Natural logs
Binary logs
Decimal logs
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