1) Solve for x: 41log4

x

17

2) What is the equation of the asymptote of the following graph:

253.98 10

3) Solve the following equation:

42log ( 1) 4x

3x Domain: Range: Asymptote:( 3, ) ,

4) Rewrite the equation in exponential form:

log.01 2

, 6,Domain: Range: Asymptote: y = 6

5) Evaluate: 5 5log 5 3log 1

614,400

6) Solve algebraically :

2 14(3) 28x

3x

7) Scientists have discovered how to eliminate the deadly West Nile Whachamacallitts. If they are decreasing by 35% each year, and there are 4575 known in existence, how many years will it take until there are only 200?

42 2x

y

8) Seismologists use the Richter scale to express the energy, or magnitude, of an earthquake. The Richter magnitude of an earthquake, M, is related to the energy released ergs E shown by the formula

In 1964, an earthquake centered at Prince William Sound, Alaska, registered a magnitude of 9.2 on the Richter scale. Find the energy released by the earthquake.

11.8

2 log3 10

EM

41.04

9) Write an equivalent expression to . 13log log 2log2

x y z

log( 4) 2y x

10) Find the inverse of . 24log ( 2)y x

1x

11) Al Jebra is planning to invest for retirement. He has 2 options. The first one is 3.2 % compounded monthly. The second one is compounded annually at 4%. He has $20000.00 to invest and wants to end with $100000.00. Assuming that he will invest in the better plan (the one that gets to $100000. 00 sooner), when will he meet his goal?

7.27

12) What are the domain, range, and asymptote of:

25log ( 3)y x

1.386x

13) An acidophilus culture containing 150 bacteria doubles in population every hour. Predict the number of bacteria after 12 hours.

887

14) What are the domain, range, and asymptote of:

432(4) 6xy

-1

15) Give the equation of the following graph:

210 .01

16) Four-legged animals run with two different types of motion: trotting and galloping. An animal that is trotting has at least one foot on the ground at all times. An animal that is galloping has all four feet off the ground at times. The number S of strides per minute at which an animal breaks from a trot to a gallop is related to the animal’s weight w (in pounds) by the modelS = 256.2 – 47.9 log w. Approximate the weight when it breaks from a trot to a gallop with 115 strides per minute.

3 2

12

log x z

y