What is the main mathematical concept used in this video to solve the equation?

Natural Logarithms and Exponential Equations

Interactive Video
•
Mathematics
•
9th - 10th Grade
•
Hard

Patricia Brown
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Quadratic equations
Natural logarithms
Trigonometric functions
Polynomial division
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in isolating the exponential term in the equation 5e^(11x) = 16?
Subtract 5 from both sides
Multiply both sides by 5
Add 5 to both sides
Divide both sides by 5
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
After isolating the exponential term, what is the resulting equation?
e^(11x) = 5/16
e^(11x) = 16/5
e^(11x) = 11/5
e^(11x) = 5/11
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which property of logarithms allows us to bring the exponent to the front?
Quotient property
Power property
Change of base property
Product property
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the value of natural log e?
Undefined
e
1
0
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the simplified form of the equation after applying the natural log and using the power property?
11x = 16/5
x = ln(16/5)
11x = ln(16/5)
x = 11ln(16/5)
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the final step to solve for x in the equation 11x = ln(16/5)?
Subtract 11 from both sides
Add 11 to both sides
Divide both sides by 11
Multiply both sides by 11
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