Quiz about MP3 TEST 1 2025

Question 1

Simplify.

$$\frac{4\sqrt{5x^3}}{5\sqrt{10x^4}}$$

Accepted Answer

$$\frac{2\sqrt{2x}}{5x}$$

Answer

$$\frac{5\sqrt{2x}}{4}$$

Answer

$$\frac{5\sqrt{3}}{3}$$

Answer

$$\frac{\sqrt{5}}{2}$$

Question 2

Simplify.

$$\frac{4}{3\sqrt{5x^4}}$$

Accepted Answer

$$\frac{4\sqrt{5}}{15x^2}$$

Answer

$$\frac{\sqrt{3}}{2}$$

Answer

$$\frac{3x^2\sqrt{5}}{4}$$

Answer

$$\frac{\sqrt{3}}{9}$$

Question 3

Simplify.

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

D.

Question 4

Simplify.

Accepted Answer

Option B is correct

Answer

A.

Answer

C.

Answer

D.

Question 5

Question 5.

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Question 6

Question 6.

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Question 7

Condense

$$\log_39+\log_33$$

Accepted Answer

$$\log_327$$

Answer

$$\log_312$$

Answer

$$\log_39$$

Question 8

Condense

$$\log_5y-\log_525$$

Accepted Answer

$$\log_5\left(\frac{y}{25}\right)$$

Answer

$$\log_5\left(y-25\right)$$

Answer

$$\log_5\left(25y\right)$$

Answer

$$\log_5\left(\frac{25}{y}\right)$$

Question 9

Solve

$$\log_264-\log_2y=\log_216$$

Accepted Answer

y=4

Answer

y=2

Answer

y=3

Answer

4=8

Question 10

log(xy2)

Accepted Answer

logx+2logy

Answer

logx+logy²

Answer

logx-2logy

Answer

logx+logy+log2

Question 11

Logarithmic functions are the inverse of...

Accepted Answer

Exponential Functions

Answer

Linear Functions

Answer

Quadratic Functions

Answer

Polynomial Functions

Question 12

$$\log\left(\frac{8x}{yz}\right)\ $$

Accepted Answer

log8+logx-logy-logz

Answer

log8+logx-logy+logz

Answer

log(8x)-log(yz)

Answer

8logx-ylogz

Question 13

Change to Exponential Form:
log₆36 = 2

Accepted Answer

62=36

Answer

26=36

Answer

362=6

Answer

366=2

Question 14

When you have two log expressions separated by a minus sign (-), we really need to ___________ them to simplify into one log expression.

Accepted Answer

divide

Answer

add

Answer

subtract

Answer

multiply

Question 15

Rewrite 3⁴ = 81 in logarithmic form.

Accepted Answer

log₃81 = 4

Answer

log₃4 = 81

Answer

log₈₁3 = 4

Answer

log₄81 = 3

Question 16

Solve the exponential equation algebraically. (Round to three decimal places)
14e^3x+2=560

Accepted Answer

0.563

Answer

3.689

Answer

1.442

Answer

1.896

Question 17

Solve:

log₂ x + log₂ (x + 5) = log₂ (3x + 8)

Accepted Answer

x = 2

Answer

x = -4

Answer

x = 2 and x = -4

Answer

no solution

Question 18

Solve: 9^8-x = 27^x-3

Accepted Answer

5

Answer

-5

Answer

1/5

Answer

-1/5

Question 19

Match the graph with its equation

Accepted Answer

y = log₅ (x + 1) + 1

Answer

y = log₅ (x - 1) + 1

Answer

y = log₅ (x²) + 1

Answer

y = log₅ (x)-1

Question 20

Where is the asymptote?

Accepted Answer

x = 1

Answer

y = 1

Answer

x = -1

Answer

y = -1

Question 21

Which graph matches this equation?

Accepted Answer

Option B is correct

Answer

A.

Answer

C.

Answer

D.

Question 22

Select the correct graph shape for the equation

$$y=-2\log\left(x+3\right)-1$$

Accepted Answer

Question 23

Solve:
log x + log 8 = 2

Accepted Answer

12.5

Answer

10

Answer

15

Answer

17.5

Question 24

log (x - 1)  - log (x - 2)  = log 5

Accepted Answer

9/4

Answer

7

Answer

4/9

Answer

1/7

Question 25

This question is SLIGHTLY a challenge but you should all be able to do it!!
log x - log 8 = 3

Accepted Answer

x = 8000

Answer

x = 1000

Answer

x = 800

Answer

x = 100

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