Mastering Logarithmic Conversions and Applications

Mastering Logarithmic Conversions and Applications

10th Grade

10 Qs

quiz-placeholder

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Mastering Logarithmic Conversions and Applications

Mastering Logarithmic Conversions and Applications

Assessment

Quiz

English, Mathematics

10th Grade

Hard

Created by

Anthony Clark

FREE Resource

10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A scientist measures the pH level of a solution and finds it to be 3. What is the hydrogen ion concentration in moles per liter? (Use the formula pH = -log[H+])

0.01 moles per liter

0.001 moles per liter

0.0001 moles per liter

1 mole per liter

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The population of a bacteria culture doubles every 3 hours. If the initial population is 100, how long will it take for the population to reach 800? (Use logarithmic equations to solve)

9 hours

15 hours

6 hours

12 hours

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A sound intensity level is measured at 80 decibels. What is the intensity of the sound in watts per square meter? (Use the formula L = 10 log(I/I0) where I0 = 10^-12)

0.01

0.0001

0.1

0.001

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If log base 2 of x is 5, what is the value of x? (Convert the logarithmic form to exponential form)

32

64

16

8

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A car's value depreciates by 15% each year. If the car is currently worth $20,000, how many years will it take for the value to drop below $10,000? (Use logarithms to find the answer)

10

5

7

3

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The Richter scale measures the magnitude of earthquakes logarithmically. If an earthquake measures 6.0 on the Richter scale, how many times more intense is it than one that measures 4.0? (Use properties of logarithms)

200

100

50

10

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A bank offers an interest rate of 5% compounded annually. If you invest $1,000, how long will it take for your investment to double? (Use the formula A = P(1 + r)^t and convert to logarithmic form)

Approximately 14.21 years

20 years

10 years

25 years

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