
Understanding Exponents and Logarithms

Interactive Video
•
Mathematics
•
9th - 12th Grade
•
Hard
Standards-aligned

Lucas Foster
FREE Resource
Standards-aligned
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in solving the equation 1/3^x = 243?
Multiply both sides by 3
Convert 243 to a base of 3
Subtract 1/3 from both sides
Add 243 to both sides
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
When solving log equations, why is it important to check your solutions?
To confirm the solution is positive
To make sure the solution is a fraction
To ensure the solution is a whole number
To verify the solution is not extraneous
Tags
CCSS.HSF.BF.B.5
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you convert a logarithmic equation to an exponential form?
By raising the base to the power of the other side
By subtracting the base from both sides
By multiplying the base by the exponent
By adding the base to both sides
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the purpose of using the change of base formula?
To solve equations with different bases
To convert a logarithm to a fraction
To simplify logarithms for calculator use
To find the reciprocal of a logarithm
Tags
CCSS.HSF.BF.B.5
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the inverse operation of taking a natural log?
Dividing by the base
Exponentiating with base e
Subtracting the base
Multiplying by the base
Tags
CCSS.HSF.BF.B.5
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the equation e^x = 4, what is the solution for x?
x = ln(4)
x = 1/4
x = 4
x = e^4
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why is it necessary to factor equations involving e^x?
To simplify the equation
To find extraneous solutions
To isolate the variable
To convert to logarithmic form
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