Free Printable PreCal Unit 5 Retest

1.

Solve for n:

4⁵ⁿ = 16

a)

5

b)

3

c)

2/5

d)

4

2.

Expand: log(3x)²

a)

2log(3+x)

b)

2log3+logx

c)

log3+2logx

d)

2(log3+logx)

3.

Use multiple log properties to write as a single log:
log₂x - 5log₂y

a)

log₂(x/y⁵)

b)

log₂(xy⁵)

c)

log₂(x/y)⁵

d)

log₂(x/5y)

4.

Which is the correct way to rewrite,log₆(x-3)= 2, in order to solve.

a)

6²= x-3

b)

2⁶ = x - 3

c)

ln(2) = x-3

d)

e⁶ = x-3

5.

Condense $15\ \log_5a\ +3\ \log_5b$

a)

$15\log_5ab$

b)

$\log_5\left(a^{15}b^3\right)$

c)

$\log_5\left(b^{15}a^3\right)$

d)

$45\log_5\left(ab\right)$

6.

Expand $\log_4\left(x^5y^2\right)$

a)

$10\log_4\left(x\ +y\right)$ 1

b)

$5\log_4x+2\log_4y$

c)

$5\log_9x+2\log_9y$

d)

$\log_4\left(5x+2y\right)$

7.

Ash has $8,000 in a savings account. The interest rate is 3% compounded once a year.

To the nearest cent, how much will he have in his account in 4 years?

a)

$9,004.07

b)

$2,2848.80

c)

$9,011.94

d)

$8,242.71

8.

The value of a car purchased for $20,000 decreases at a rate of 12% per year. What will be the value of the car after 3 years?

a)

$12,800.00

b)

$13,629.44

c)

$17,600.00

d)

$28,098.56

9.

What is the domain?

a)

(-∞, ∞)

b)

(0, ∞)

c)

[1, ∞)

d)

(1, ∞)

10.

Where is the asymptote?

a)

x = 1

b)

y = 1

c)

x = -1

d)

y = -1

11.

What is the domain and range of

f(x) = log ₅ (x + 1)?

a)

D: (− ∞, ∞) R: (−1, ∞)

b)

D: (− ∞, ∞) R: (1, ∞)

c)

D: (−1, ∞) R: (− ∞, ∞)

d)

D: (1, ∞) R: (− ∞, ∞)

12.

The graph

f\left(x\right)=2^{\left(x-3\right)}-7

is shown, which statement best describes the transformations?

a)

Vertically shift up 3 and Vertically down 7

b)

Vertically shift down 3 and Horizontally right 7

c)

Horizontally shift right 3 and Vertically down 7

d)

Horizontally shift left 3 and Horizontally left 7

13.

Which graph best represents

y=2^x-4

a)

b)

c)

d)

14.

Use the graph of y = 2^x+4- 6.

What are the transformations?

a)

Translated right 4 and down 6

b)

Translated left 4 and down 6

c)

Translated up 6 and left 4

d)

Stretched by 4 and translated down 6

15.

Use the graph of y = 4^x+2+ 1.

What are the transformations?

a)

Translated left 2 and up 1

b)

Translated right 1 and up 2

c)

Translated right 2 and down 1

d)

Stretched by 4 and translated down 2

PreCal Unit 5 Retest - Exp/Log

Total questions: 15

Worksheet time: 27mins

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