Exponential Equation Using Logarithms

Exponential Equation Using Logarithms

11th Grade

9 Qs

quiz-placeholder

Similar activities

Solving Logarithm and Exponential Functions

Solving Logarithm and Exponential Functions

11th Grade - University

14 Qs

5.6 Practice Problems

5.6 Practice Problems

9th - 12th Grade

10 Qs

Logarithm Properties Exponential Equation

Logarithm Properties Exponential Equation

11th Grade

11 Qs

Exponent Logarithm Properties Convert Evaluate

Exponent Logarithm Properties Convert Evaluate

11th Grade

11 Qs

Exponents and Logs by Properties

Exponents and Logs by Properties

11th Grade

11 Qs

Solving Exponential Functions with Same Base

Solving Exponential Functions with Same Base

11th Grade - University

12 Qs

Properties of Logarithms Expanding

Properties of Logarithms Expanding

11th Grade - University

11 Qs

Logarithm Properties and Solving Exponential and Log Equations

Logarithm Properties and Solving Exponential and Log Equations

11th Grade

14 Qs

Exponential Equation Using Logarithms

Exponential Equation Using Logarithms

Assessment

Quiz

Mathematics

11th Grade

Hard

CCSS
HSF.BF.B.5, HSF.LE.A.4, HSF.BF.B.3

+1

Standards-aligned

Created by

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.