Log review Name: Date - Weebly

[Pages:5]Name:

p3 a 1. The expression log is equivalent to

b

A.

1 3

log

a

log b

C. 3 log a log b

B.

1 3

log(a

b)

D. 3 log(a b)

log review

Date:

pxy

4. log

is equal to

z

A.

1 2

log x

+

1 2

log

y

log z

B.

1 2

log

x

+

log

y

log z

C.

1 2

(log

x

+

log

y

log z)

D.

1 2

log

xy

log z

2.

The

expression

1 2

log

a

2 log b is equivalent to

pa A. log b2

a2 C. log p

b

p B. log ab D. log(pa b2)

5. The equation y = ax expressed in logarithmic form is

A. y = loga x C. x = loga y

B. a = logx y D. x = logy a

3. If x = (82)(p5 ), which expression is equivalent to log x ?

A. 2 log 8 + 2 log 5

C.

2

log

8

+

1 2

log

5

B.

2(log

8

+

1 2

log

5)

D.

(2

log

8)(

1 3

log

5)

6.

The

expression

log a

+

1 2

log b

is

equivalent

to

p A. log ab

p C. log(a + b )

p B. log a b

D.

(log a)

1 2

log

b

page 1

7. A black hole is a region in space where objects seem to disappear. A formula used in the study of black holes is the Schwarzschild formula, 2GM R = c2 . Based on the laws of logarithms, log R can be represented by

A. 2 log G + log M log 2c

B. log 2G + log M log 2c

C. log 2 + log G + log M 2 log c

D. 2 log GM 2 log c

10. The graph of which equation passes through the point (0; 1)?

A. y = sin x C. y = 2x

B. y = tan x D. y = log2 x

8.

The

expression

log5

1 25

is

equivalent

to

A.

1 2

B. 2

C.

1 2

D. 2

9. Which is the equation of the graph below?

A. y = log2 x B. y = log2 x C. y = 2x D. y = 2 x

11. Which equation is represented by the graph in the accompanying diagram?

A. y = log x B. y = log2 x C. y = 2x D. y = 10x

page 2

log review

12. Which equation is represented by the accompanying graph?

15. If log2 x = 3, then x is equal to

A. 9

B. 6

C.

1 8

D. 8

A. y = 2x C. y = 2 x

B. y = 2x D. y = x2 2

16. If logb n = y, then n equals

y A. y b B.

b

C. yb

D. by

17. If log(x+1) 27 = 3, nd the value of x.

13. Theresa is comparing the graphs of y = 2x and y = 5x. Which statement is true?

A. The y-intercept of y = 2x is (0; 2), and the y-intercept of y = 5x is (0; 5).

B. Both graphs have a y-intercept of (0; 1), and y = 2x is steeper.

C. Both graphs have a y-intercept of (0; 1), and y = 5x is steeper.

D. Neither graph has a y-intercept.

18.

If

logx

1 4

=

1,

nd x.

19.

If

logx

2

=

1 3

,

what

is

the

value

of

x?

A.

2

1 3

B. p3 2

C. 8

D. 4

1

14. If f (x) = x 2 , nd f (9).

20. If log 28 = log 4 + log x, what is the value of x ?

A. 7

B. 14

C. 24

D. 32

page 3

log review

21. If log2(x2 1) = log2 8, the the solution set for x is

A. f3; 3g C. f3g

B. f 3g D. f g

24. Solve algebraically for x:

log27(2x

1)

=

4 3

22. Solve for x: log4(x2 + 3x) log4(x + 5) = 1

25. Solve algebraically for x:

log5x

14

=

1 3

23. For which value of x is y = log x unde ned?

A. 0

B.

1 10

C.

D. 1.438

page 4

log review

1.

Answer:

A

2.

Answer:

A

3.

Answer:

C

4.

Answer:

A

5.

Answer:

C

6.

Answer:

B

7.

Answer:

C

8.

Answer:

D

9.

Answer:

C

10.

Answer:

C

11.

Answer:

B

12.

Answer:

B

13.

Answer:

C

14.

Answer:

1 3

15.

Answer:

C

16.

Answer:

D

17.

Answer:

2

18.

Answer:

4

19.

Answer:

C

20.

Answer:

A

Problem-Attic format version 4.4.284 _c 2011?2016 EducAide Software Licensed for use by George Lessig

Terms of Use at problem-

log review

03/01/2017

21. Answer:

22. Answer:

23. Answer:

24. Answer:

25. Answer:

A 5 and 4 A 41 13

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