Math 3 Mid Unit 2 Exponentials Review

Question 1

Solve. log (6x + 7) = 2

Accepted Answer

15.5

Question 2

Solve for x. ln(2x-1) = 2

Accepted Answer

4.19

Question 3

Expand the logarithm. log (x2y2 /z)

Accepted Answer

2log x + 2log y - log z

Question 4

Solve for x to the nearest hundredth. 4x - 3 = 56

Accepted Answer

5.90

Question 5

Given the equation:0.75(0.5)x

Accepted Answer

0.75

Question 6

Solve the exponential equation.

Accepted Answer

-2

Question 7

Given the equation: y = 0.75(0.5)x What is the rate of growth or decay?

Accepted Answer

50%

Question 8

Solve the exponential equation.

Accepted Answer

x = -5

Question 9

Given the equation: y = 650(0.3)x What is the growth or decay rate?

Accepted Answer

70%

Question 10

Solve for x to the nearest hundredth. 5x = 18

Accepted Answer

1.80

Question 11

Solve.

Accepted Answer

$4,630.50

Question 12

Solve the exponential equation.

Accepted Answer

1/3

Question 13

Write an exponential model to represent the information.

Accepted Answer

y= 2000(3)x, f(x)= 2000(3)x

Question 14

Rewrite as a single logarithm.

Accepted Answer

log 3x2

Question 15

Write an exponential model to represent the information.

Accepted Answer

y=500(1/2)x, y= 500(0.5)x, f(x)= 500(0.5)x, f(x)=500(1/2)x

Question 16

Change to logarithmic form. x3 = 9

Accepted Answer

log x 9 = 3

Question 17

Solve for x. e2x = 10

Accepted Answer

1.15

Question 18

The price of a new home is $225,000. The value of the home appreciates 2% each year. Equation?

Accepted Answer

y = 225,000 (1.02)x

Question 19

Change to exponential form. log5x = 4

Accepted Answer

54 = x

Question 20

How much money invested at 4% compounded continuously for 5 years will yield $1,000?

Accepted Answer

$818.73

Questions 20