Quiz about Math 3 review Exp & Log test

Question 1

Solve: 9^8-x = 27^x-3

Accepted Answer

x = 5

Answer

x = -5

Answer

x = 1/5

Answer

x = -1/5

Question 2

Solve: 7^-x = 49

Accepted Answer

x = -2

Answer

x = 1

Answer

x = -1

Answer

x = 2

Question 3

Solve: 2^x = 4^x+1

Accepted Answer

x = -2

Answer

x = 2

Answer

x = -3

Answer

x = 3

Question 4

Solve for p:
4^p+2 = 64

Accepted Answer

p = 1

Answer

p = -16/9

Answer

p = 8

Answer

p = 7/6

Question 5

To solve 36 = 6^x, re-write 36 as what base and exponent?

Accepted Answer

62

Answer

36

Answer

63

Answer

312

Question 6

To solve 8 = 2^5x+7, you would need to re-write 8 as what base?

Accepted Answer

2

Answer

8

Answer

4

Answer

Cannot be determined

Question 7

2^-m = 2^3m-3

Accepted Answer

3/4

Answer

4/3

Answer

2

Answer

1

Question 8

2x+6=32

Accepted Answer

x=-1

Answer

x=11

Answer

x=1

Answer

x=-11

Question 9

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

Accepted Answer

x = -1

Answer

x = -4

Answer

x = -3

Answer

x = 1

Question 10

Solve for a:
5^{a + 2} = 1/125

Accepted Answer

-5

Answer

-1

Answer

-6/7

Answer

4

Question 11

Solve: 9^8-x = 27^x-3

Accepted Answer

x = 5

Answer

x = -5

Answer

x = 1/5

Answer

x = -1/5

Question 12

Is the equation linear, exponential or neither?

Accepted Answer

Exponential

Answer

Linear

Answer

Neither

Question 13

Is the graph linear, exponential or neither?

Accepted Answer

Linear

Answer

Exponential

Answer

Neither

Question 14

Is the pictured graph growth, decay, or linear or none?

Accepted Answer

Exponential Growth

Answer

Exponential Decay

Answer

Linear

Answer

None

Question 15

Is the pictured graph growth, decay, or linear or none?

Accepted Answer

Exponential Decay

Answer

Exponential Growth

Answer

Linear

Answer

None

Question 16

In an exponential function, what does the 'a' represent?

Accepted Answer

Y-INTERCEPT

Answer

SLOPE

Answer

RATE OF CHANGE

Answer

COMMON RATIO

Question 17

Solve

log₂(x + 5) = 3

Accepted Answer

3

Answer

4

Answer

5

Answer

6

Question 18

Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.

Accepted Answer

y=5000(0.7)^x

Answer

y=30(5000)^x

Answer

y=5000(1.3)^x

Answer

y=5000xx

Question 19

If $1,000 is invested at 16% interest, compounded continuously, for five years, what is the ending balance?

Accepted Answer

$2,225.54

Answer

$1,225,54

Answer

$22,255.40

Answer

$225.54

Question 20

Compounded Continuously an investment of  $400 at a rate of 35% for 2 years

Accepted Answer

$805.50

Answer

$280

Answer

$680

Answer

$1,034.47

Question 21

Kennedy won $3,000 from a radio contest. If she puts this money in a bank account that earns 2.9% interest compounded quarterly, how much total will she earn in 10 years?

Accepted Answer

$4005.09

Answer

$4915.59

Answer

$3933.28

Answer

$2979.81

Question 22

Log with a base "e" (log_e) is the same thing as...

Accepted Answer

Natural Logarithm (LN)

Answer

"e"

Answer

Common Logarithm (Log)

Answer

Natural Log, base "e"
LN_e

Question 23

Evaluate each equation at x = 0 and at x = 1, then choose which one matches the graph.

Accepted Answer

Option B is correct

Answer

A.

Answer

C.

Answer

D.

Question 24

select ALL the equations that match this graph

Accepted Answer

y = - e^-x + 2

Answer

y = - e^x - 2

Answer

y = - e^{-x - 2}

Answer

y = - e^x+ 2

Question 25

Where is the asymptote on the graph: y = ln(-x-2) + 3

(hint: sketch the graph)

Accepted Answer

x= - 2

Answer

y=2

Answer

x=3

Answer

y=-2

Answer

x=2

Question 26

sketch the graph of: y = e^-x+2

Accepted Answer

Option B is correct

Answer

A.

Answer

C.

Answer

D.

Question 27

Which of the following functions shows an initial amount of $15 and an increase of 35% each year?

Accepted Answer

y = 15(1.35)^x

Answer

y = 15(35)^x

Answer

y = 15(0.35)^x

Answer

y = 35(1.15)^x

Question 28

Logarithmic functions are the inverse of...

Accepted Answer

Exponential Functions

Answer

Linear Functions

Answer

Quadratic Functions

Answer

Polynomial Functions

Question 29

7ⁿ⁺¹⁰- 8 = 6

Accepted Answer

-8.643

Answer

-7.374

Answer

-7.360

Answer

-8.853

Question 30

log₅(4x-7)=log₅(x+5)

Accepted Answer

4

Answer

3

Answer

12

Answer

7

Question 31

Marcie Mays plans to have $350,000 in a retirement fund 30 years from now. What monthly ordinary annuity payment should she make if the investment she has selected earns 7.2% annual interest?

Accepted Answer

$275.76

Answer

$3,129.09

Answer

$871.29

Answer

$2,757.59

Question 32

What is the Range of:
y = 3^x+4 - 6

Accepted Answer

y > -6

Answer

y > 6

Answer

x > -4

Answer

All Reals

Question 33

What is the Domain of:
y = Log₂(x - 1) + 3

Accepted Answer

x > 1

Answer

All Reals

Answer

y > 3

Answer

y < -1

Question 34

Solve:
Log₃(x - 1) = 2

Accepted Answer

x = 10

Answer

x = 4

Answer

x = 7

Answer

x = 2.97654

Question 35

7x=17

Accepted Answer

x=1.456

Answer

x=.687

Answer

x=1.546

Answer

x=.786

Math 3 review Exp & Log test

38 questions

Solve: 9^8-x = 27^x-3

Solve: 7^-x = 49

Solve: 2^x = 4^x+1

Solve 3³ = 3^{4x + 2}

Solve for p:
4^p+2 = 64

To solve 36 = 6^x, re-write 36 as what base and exponent?

To solve 8 = 2^5x+7, you would need to re-write 8 as what base?

2^-m = 2^3m-3

2^x+6=32

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

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Math 3 review Exp & Log test

38 questions

Solve: 98-x = 27x-3

Solve: 7-x = 49

Solve: 2x = 4x+1

Solve 33 = 34x + 2

Solve for p:4p+2 = 64

To solve 36 = 6x, re-write 36 as what base and exponent?

To solve 8 = 25x+7, you would need to re-write 8 as what base?

2-m = 23m-3

2x+6=32

Sovle for x:5-3x - 1 = 25

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Solve: 9^8-x = 27^x-3

Solve: 7^-x = 49

Solve: 2^x = 4^x+1

Solve 3³ = 3^{4x + 2}

Solve for p:
4^p+2 = 64

To solve 36 = 6^x, re-write 36 as what base and exponent?

To solve 8 = 2^5x+7, you would need to re-write 8 as what base?

2^-m = 2^3m-3

2^x+6=32

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