Quiz about Logs and Exponential Review

Question 1

2logx + logy - 3logz=

Accepted Answer

$$\log\left(\frac{x^2y}{z^3}\right)$$

Answer

$$\log\left(\frac{2xy}{3z}\right)$$

Answer

$$\log\left(x^2yz^3\right)$$

Answer

$$\frac{\log\left(x^2y\right)}{\log\left(z^3\right)}$$

Question 2

Describe the transformation of the graph f(x)=logx which results in the graph of     f(x)=-logx.

Accepted Answer

reflect over the x-axis

Answer

vertical translation down 1

Answer

vertically stretch

Answer

reflect over the y-axis

Question 3

Describe the transformation of the graph f(x)=logx which results in the graph of f(x)=log(x+6).

Accepted Answer

left 6

Answer

down 6

Answer

up 6

Answer

right 6

Question 4

Describe the transformation of the graph f(x)=logx which results in the graph of f(x)=log(-x).

Accepted Answer

reflected over the y-axis

Answer

reflected over the x-axis

Answer

vertical stretch

Answer

horizontal translation 1 right

Question 5

Describe the transformation of the graph f(x)=logx which results in the graph of f(x)=5logx.

Accepted Answer

vertical stretch by a factor of 5

Answer

horizontal compression by a factor of 5

Answer

horizontal translation 5 left

Answer

vertical translation 5 up

Question 6

Describe the transformation of the graph f(x)=logx which results in the graph of f(x)=log(x-7)

Accepted Answer

horizontal translation 7 right

Answer

horizontal translation 7 left

Answer

vertical translation 7 up
vertical translation 7 up

Answer

vertical translation 7 down

Question 7

Which function shows an initial value of 29 grams doubling every 9 hours?

Accepted Answer

f(t)= 29(2)^t/9

Answer

f(t)=29(2)^9/k

Answer

f(t)=29(9)^t/2

Answer

f(t)=29(9)^2/k

Question 8

Rewrite log₃x = 5 in exponential form.

Accepted Answer

35= x

Answer

3x = 5

Answer

5x = 3

Answer

x3 = 5

Question 9

What is r, the growth rate, for the function: f(x) = 300(1.16)^T?

Accepted Answer

16%

Answer

300%

Answer

116%

Answer

84%

Question 10

What is r, the decay rate, for the function: f(x) = 800(0.85)^T

Accepted Answer

15%

Answer

800%

Answer

85%

Answer

185%

Question 11

The value of a car is $15,000 and decreases at a rate of 8% per year. What is the exponential equation?

Accepted Answer

y=15,000(0.92)^T

Answer

y=8(15,000)^T

Answer

y=15,000(1.08)^T

Answer

y=15,000(0.08)^T

Question 12

ln(-1.9)

Accepted Answer

undefined

Answer

.642

Answer

e

Answer

0

Question 13

Which are equivalent to $$\log_3\left(x^2\right)$$ ?

Accepted Answer

$$2\log_3x$$

Accepted Answer

$$\frac{\log x^2}{\ \log3}$$

Answer

$$\log_3x+\log_32$$

Answer

$$\log x^6$$

Answer

$$3\log x^2$$

Question 14

Rewrite $$\log_53x$$ using change of base

Accepted Answer

$$\frac{\log3x}{\log5}$$

Answer

$$\frac{\log5}{\log\ 3x}$$

Answer

$$\log\left(\frac{3x}{5}\right)$$

Answer

$$\log15x$$

Answer

$$\log3x\ -\log\ 5$$

Question 15

Which are equivalent to $$10^{-4}$$ ?

Accepted Answer

$$\frac{1}{10^4}$$

Accepted Answer

$$\frac{1}{10000}$$

Accepted Answer

.0001

Answer

$$\frac{1}{4000}$$

Answer

$$-410$$

Logs and Exponential Review

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics