Logs Online Quiz - Wappingers Central School District

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Logs Online Quiz

Date:

/20 zmqfxzce

Directions: Show any work necessary to obtain your solutions. You do not need to write an explanation unless speci cally asked. Reference the calculator as necessary.

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)

4. If A = r2, log A equals

A. 2 log + log r C. 2 log + 2 log r

B. log + 2 log r D. 2 log r

2. The expression log12 is equivalent to

A. log6 + log6 C. log3 2log2

B. log3 + 2log2 D. log3 log4

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

A. 0

B.

1 10

C.

D. 1.438

6. The solution of logx8 = 2 is

A. x < 2 C. 3 < x < 4

B. 2 < x < 3 D. x > 4

3. The growth of bacteria in a dish is modeled by

the

function

f (t)

=

2

t 3

.

For which value of t is

f (t) = 32?

A. 8

B. 2

C. 15

D. 16

7.

If

log a

=

x

and

log b

=

y,

then

log

p ab

is

equivalent to

A.

1 2

x

+

y

C.

1 2

xy

B.

1 2

(x

+

y)

D.

1 4

xy

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8. Which graph represents the function log2 x = y?

A.

B.

C.

D.

9. In the equation logx 4 + logx 9 = 2, x is equal to

A. p13 B. 6

C. 6.5 D. 18

10. Susie invests $500 in an account that is compounded continuously at an annual interest rate of 5%, according to the formula A = Pert, where A is the amount accrued, P is the principal, r is the rate of interest, and t is the time, in years. Approximately how many years will it take for Susie's money to double?

A. 1.4 B. 6.0 C. 13.9 D. 14.7

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Logs Online Quiz

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