
Exploring Exponential and Logarithmic Equations

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

Sophia Harris
FREE Resource
Standards-aligned
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the solution to the equation when one half raised to the power of (x+7) equals four raised to the power of (3x)?
x = 2
x = -1
x = 1
x = 0
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How can you express the equation 17 equals 4 to the power x using logarithms?
log base 17 of 4 equals x
log base x of 17 equals 4
log base x of 4 equals 17
log base 4 of 17 equals x
Tags
CCSS.HSF.BF.B.5
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the approximate decimal value when solving the equation 17 equals 4 to the power x using logarithms?
4.78
1.23
2.04
3.56
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you handle equations with bases of 3 and 5 using logarithms?
Add the bases together
Multiply both sides by the base
Convert bases to a common number
Take the log of both sides
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result of factoring out x in the equation involving logs of base 3 and 5?
log of 3 plus log of 5
log of 5 minus log of 3
log of 5 plus log of 3
log of 3 minus log of 5
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the final value of x when solving the equation with logs of base 3 and 5?
2.15
3.15
1.15
4.15
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What property allows us to equate the expressions inside the logarithms when they are equal?
Distributive property
Additive property
Multiplicative property
One-to-one property
Tags
CCSS.HSF.BF.B.5
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