Quiz about LOGS Test Practice

Question 1

Solve for n:
2³ⁿ = 4

Accepted Answer

2/3

Answer

2

Answer

3

Answer

4

Question 2

Change to Exponential Form:
log₆36 = 2

Accepted Answer

62=36

Answer

26=36

Answer

362=6

Answer

366=2

Question 3

Write log_b(x/y) as two logs

Accepted Answer

log_bx-log_by

Answer

log_bx+log_by

Answer

log_bx*log_by

Answer

log_bx/log_by

Question 4

Solve the following for 'x';
log₆(3x - 2) = log₆(5x - 8)

Accepted Answer

x = 3

Answer

x = 2

Answer

x = -1

Answer

No Solution

Question 5

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

Accepted Answer

log₂(x/y⁵)

Answer

log₂(xy⁵)

Answer

log₂(x/y)⁵

Answer

log₂(x/5y)

Question 6

Evaluate log₅20 to the third decimal place

Accepted Answer

1.861

Answer

0.537

Answer

2.996

Answer

1.301

Question 7

Evaluate log₄1

Accepted Answer

0

Answer

1

Answer

4

Answer

undefined

Question 8

eln(f)

Accepted Answer

f

Answer

e

Answer

ef

Answer

undefined

Question 9

Write the exponential equation as a logarithm
6³=216

Accepted Answer

log₆(216)=3

Answer

log₆(3) = 216

Answer

log₃(6) = 216

Answer

log₂₁₆(6)=3

Question 10

Solve for x.
e^x+6 + 5 = 1

Accepted Answer

No Solution

Answer

-4.614

Answer

-4.236

Answer

-0.334

Question 11

Question 11.

Accepted Answer

ln(uvw5)

Answer

ln(wvu5)

Answer

ln(u + v + w⁵)

Answer

ln(uvw)5

Question 12

Question 12.

Accepted Answer

.20

Answer

-.20

Answer

.60

Answer

-.6

Question 13

If you invest $5,000 into an account paying 6% interest compounded continuously, how many years will it take until there is $8,000 in the account?

Accepted Answer

7.83 years

Answer

6.83 years

Answer

9.67 years

Answer

8.67 years

Question 14

log(x+6) = 1

Accepted Answer

4

Answer

4.222

Answer

-5

Answer

-9.550

Question 15

Match the graph with its equation

Accepted Answer

y = log₄ (x + 2) + 1

Answer

y = log₄ (x)+2

Answer

y = log₄ (x - 1) + 2

Answer

y = log₄ (-x + 2)

Question 16

log(xy2)

Accepted Answer

logx+2logy

Answer

logx+logy²

Answer

logx-2logy

Answer

logx+logy+log2

Question 17

Condense: log16 + log2 - log8

Accepted Answer

log4

Answer

log8

Answer

log10

Answer

log24

Question 18

Rewrite log_x95 = 2.3

Accepted Answer

x2.3 = 95

Answer

952.3 = x

Answer

2.3⁹⁵ = x

Answer

x⁹⁵= 2.3

Question 19

Rewrite 1.6^(x+2) = 14.1

Accepted Answer

log_1.614.1 = x+2

Answer

log_1.6(x+2) = 14.1

Answer

log_14.1(x+2) = 1.6

Answer

log_(x+2)1.6 = 14.1

Question 20

Without a calculator, evaluate log₄1

Accepted Answer

0

Answer

1/4

Answer

-1

Answer

not possible

Question 21

Which of the following is the sketch of the graph of y = -log₃ (x+5) ?

Accepted Answer

Option C is correct

Answer

A.

Answer

B.

Answer

D.

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