Free Printable 1A Solving Log and Exponential Equations with Compound Interest

1.

Sovle for x:
5^{-3x - 1} = 25

a)

x = -1

b)

x = -4

c)

x = -3

d)

x = 1

2.

Solve for p:
4^p+2 = 64

a)

p = -16/9

b)

p = 1

c)

p = 8

d)

p = 7/6

3.

10^2x+4 =100000

a)

x=7

b)

x=20

c)

x=-1/2

d)

x=1/2

4.

Solve

a)

-2

b)

6

c)

9

d)

3

5.

Solve the equation. Round your answer to the nearest ten-thousandth. $8^a=12$

a)

2.1681

b)

2.4849

c)

1.0792

d)

1.195

6.

Solve the equation. Round your answer to the nearest ten-thousandth. $14^{3x}=63.7$

a)

1.3669

b)

0.6014

c)

1.3847

d)

0.5247

7.

Solve the equation. Round to the nearest ten-thousandth. $4^b=73.7$

a)

3.1018

b)

4.3

c)

No Solution

d)

1.8675

8.

Solve the equation. Round your answer to the nearest ten-thousandth. $8^a=12$

a)

2.1681

b)

2.4849

c)

1.0792

d)

1.195

9.

Solve the equation. Round your answer to the nearest ten-thousandth. $18^x=50.9$

a)

1.3596

b)

1.7067

c)

3.9299

d)

No solution

10.

Solve the equation. Round your answer to the nearest ten-thousandth. $6^x=21$

a)

1.3222

b)

3.0445

c)

No Solution

d)

1.6992

11.

Solve the equation. Round your answer to the nearest ten-thousandth. $14^{3x}=63.7$

a)

1.3669

b)

0.6014

c)

1.3847

d)

0.5247

12.

Solve the equation. Round your answer to the nearest ten-thousandth. $8^{10x}=42$

a)

0.1623

b)

0.1797

c)

0.3738

d)

0.3619

13.

Solve the equation. Round your answer to the nearest ten-thousandth. $7^{n+8}=26$

a)

No solution

b)

-4.7419

c)

-6.585

d)

-6.3257

14.

Solve the equation. Round your answer to the nearest ten-thousandth. $14^{3p}=96$

a)

0.6608

b)

No solution

c)

1.5214

d)

0.5765

15.

Solve the equation. Round your answer to the nearest ten-thousandth. $9^x-9=23$

a)

1.5051

b)

3.4657

c)

1.5773

d)

No solution

16.

Solve the equation. Round your answer to the nearest ten-thousandth. $-7\left(10^x\right)=-54$

a)

2.0431

b)

1.7481

c)

1.7254

d)

0.8873

17.

Solve the equation. Round your answer to the nearest ten-thousandth. $-4\left(15^x\right)=-13$

a)

No Solution

b)

0.5119

c)

1.1787

d)

0.4352

18.

Solve the equation. Round your answer to the nearest ten-thousandth. $19^{x-2}-6=64$

a)

3.8451

b)

7.0233

c)

6.2485

d)

3.4429

19.

Solve the equation. Round your answer to the nearest ten-thousandth. $-8\left(2^{n+5}\right)=-29.3$

a)

-4.4362

b)

No solution

c)

-3.1272

d)

=3.7019

20.

Solve the equation. Round your answer to the nearest ten-thousandth. $12^{n+7.6}+6=40$

a)

-6.1809

b)

-4.108

c)

-4.0736

d)

-6.0685

21.

Solve the equation. Round your answer to the nearest ten-thousandth. $10\left(16^{v-3}\right)-3.3=28$

a)

4.141

b)

4.7752

c)

3.4115

d)

3.4955

22.

Solve the equation. Round your answer to the nearest ten-thousandth. $5\left(15^{x-10}\right)-10=83$

a)

11.2695

b)

12.9232

c)

11.0794

d)

12.4904

23.

Solve the equation. Round your answer to the nearest ten-thousandth. $20^{-5a}-6=37$

a)

-0.2511

b)

-0.7522

c)

-0.3267

d)

-0.7907

24.

Rewrite the equation in logarithmic form.

a)

A

b)

B

c)

C

d)

D

25.

Rewrite in exponential form.

a)

A

b)

B

c)

C

d)

D

26.

log₂(x+3)=4

a)

16

b)

13

c)

3

d)

10

27.

log₈(4x+4)=2

a)

15

b)

12

c)

10

d)

3

28.

Solve

a)

8

b)

-8

c)

1/8

d)

-1/8

29.

Solve

a)

1/81

b)

-1/81

c)

-81

d)

81

30.

Solve

a)

-25

b)

25

c)

1/25

d)

-1/25

31.

Solve

a)

-1/7

b)

1/7

c)

7

d)

-7

32.

Solve

a)

1

b)

0

c)

-1

d)

Undefined

33.

log₂(x+3)=4

a)

16

b)

13

c)

3

d)

10

34.

log₈(4x+4)=2

a)

15

b)

12

c)

10

d)

3

35.

Solve:

log₆(2x + 3) = 3

a)

x = 106.5

b)

x = 100

c)

x = 16

d)

x = 50

36.

What is the title of the song that earned Whitney Houston the best-selling US single of 1987?

a)

Greatest Love of All

b)

I Wanna Dance With Somebody Who Loves Me

c)

Didn't We Almost Have it All

d)

Where Do Broken Hearts Go

37.

'Born in the USA' was sung by...

a)

David Bowie

b)

Rick Springfield

c)

Bruce Springsteen

d)

Lionel Richie

38.

Which Michael Jackson video was later listed in the Guiness World Records as "Most Successful Music Video'?

a)

Beat It

b)

Man in the Mirror

c)

Thriller

d)

Smooth Criminal

39.

How many members do Spice Girls have?

a)

4

b)

5

c)

6

40.

What dance move was created from a Los Del Rio song with the same name?

a)

The Running Man

b)

The Macarena

c)

The Tootsie Roll

d)

The Carleton

41.

Macaulay Culkin was paid $1 million—the first child star ever to do so—for what film?

a)

Home Alone

b)

My Girl

c)

Richie RIch

d)

Home Alone 2

42.

There was a bombing at the 1996 Summer Olympics in this U.S. city:

a)

Chicago

b)

Los Angeles

c)

Atlanta

d)

Dallas

43.

Which 80s movie was the highest grossing film of the decade?

a)

Jaws

b)

ET

c)

Star Wars

d)

Breakfast Club

44.

who sings the song uptown girl

a)

Ozzy Osborn

b)

Chris Stapleton

c)

Billy Joel

d)

queen

45.

What is the name of Thor's axe?

a)

Mjolnir

b)

Stormbreaker

c)

It's just an axe...

d)

Hurricane

46.

Which one of these Christmas movies was released first?

a)

The Christmas dream

b)

Scrooge

c)

A Christmas carol

d)

Santa Claus

47.

"Girls Just Want To Have Fun" is a song by who????

a)

Madonna

b)

Cyndi Lauper

c)

Janet Jackson

48.

On December 13, 2013, this superstar had an unconventional release for her fifth solo album; without any advance notice, it was released at midnight and was initially only available digitally, along with seventeen videos, through the iTunes store. Which singer scored an Internet coup with her self-titled album?

a)

b)

c)

d)

49.

Which of the following artists performed at the 2020 Super Bowl Half-Time Show?

a)

Lady Gaga

b)

Katy Perry

c)

Janet Jackson

d)

Jennifer Lopez

50.

In March 2002, this actress made history by becoming the first black woman to win an Oscar for Best Actress.

a)

b)

c)

d)

51.

Name this NBA star.

a)

Michael Jordan

b)

LeBron James

c)

Lamar Odom

d)

Kobe Bryant

52.

Name this series.

a)

Kids, Inc.

b)

Stranger Things

c)

Full House

d)

Family Matters

53.

This device reinvented the MP3 player. What is it?

a)

iPhone 1

b)

iMac

c)

iPod

d)

CD (Compact Disc)

54.

After playing soccer for in Spain for years for Real Madrid, he was transferred to to Italian club Juventus.

a)

David Beckham

b)

Cristiano Ronaldo

c)

Lionel Messi

d)

Javier Hernández Balcázar

55.

According to Forrest Gump, "Life is like a...."

a)

a bag of lemons

b)

a box of donuts

c)

a handful of roses

d)

box of chocolates

56.

Find the balance in the account after the given period.

$12,000 principal earing 4.8% compounded annually after 7 years.

a)

$3,243.19

b)

$16,661.35

c)

$15,243.19

d)

$4,661.35

57.

Find the balance in the account after the given period.

$5000 deposit earning 1.5% compounded quarterly after 3 years

a)

$5,229.70

b)

$7,604.38

c)

$7,777.27

d)

$5,538.86

58.

Find the balance in the account after the given period.

$13,500 deposit earning 3.3% compounded monthly after 1 year

a)

$13,611.38

b)

$14,898.84

c)

$13,537.13

d)

$13, 952.30

59.

Your 6 year investment of $40,000 at 14% compounded quarterly is worth how much now?

a)

$928,488.27

b)

$49,170.21

c)

$91,333.14

d)

$51,333.14

60.

An investment of $9,875 earns 4.8% interest compounded monthly over 12 years. Approximately how much INTEREST is earned on the investment?

a)

$7,457.95

b)

$10,359.57

c)

$17,546.55

d)

$484.57

1A Solving Log and Exponential Equations with Compound Interest

Total questions: 60

Worksheet time: 3hrs 0mins

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