Exponential Equation Using Logarithms

Quiz
•
Mathematics
•
11th Grade
•
Hard
+1
Standards-aligned
Anthony Clark
FREE Resource
9 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Solving exponential equations using logarithms: Find the value of x in the equation 4^x = 64 using logarithms
16
3
8
2
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Converting exponential to logarithmic form: Write the logarithmic form of the exponential equation 3^x = 27
log3(3) = x
log3(9) = x
log27(3) = x
log3(27) = x
Tags
CCSS.HSF.BF.B.5
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Converting exponential to logarithmic form: Convert the exponential equation 5^2 = 25 to logarithmic form
log2(25) = 5
log5(2) = 25
log25(5) = 2
log5(25) = 2
Tags
CCSS.HSF.BF.B.5
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Using logarithms to solve real-world problems: A population of bacteria doubles every 3 hours. If there are 100 bacteria initially, how many will there be after 12 hours?
1600
1200
800
200
Tags
CCSS.HSF.LE.A.4
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Understanding the relationship between exponential and logarithmic functions: Explain the relationship between the exponential function f(x) = 3^x and its corresponding logarithmic function
They are inverse functions of each other.
They have no relationship
The exponential function is a subset of the logarithmic function
They are parallel functions
Tags
CCSS.HSF.BF.B.3
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
log6(2x + 3) = 3
x = 106.5
x = 100
x = 16
x = 50
Tags
CCSS.HSF.BF.B.5
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Find the inverse of y=9x
y=logx9
y=log109
x=logy9
y=log9x
Tags
CCSS.HSF-BF.B.4A
8.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Write bk = m into logarithmic form.
log b m = k
log m k = b
log b k = m
log k m = b
Tags
CCSS.HSF.BF.B.5
9.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Using logarithms to solve real-world problems: The value of a car depreciates by 10% each year. If the initial value of the car is $20,000, what will be its value after 5 years?
The value of the car after 5 years will be $25,000.
The value of the car after 5 years will be $18,000.
The value of the car after 5 years will be $12,861.30.
The value of the car after 5 years will be $22,000.
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