4.1-4.4

Random Facts

100

List the first 5 numbers of pi.

3.1415

200

Do snails hatch from eggs? T or F

True

300

Write the names of all the people in the room!

1 name = 50 points

Good job you know your classmates

400

Where is the ALC located at? (Building name + room number)

CAB 202

500

What is Dr. Salako's PhD degree?

Bonus 100 points for the university where Dr. Salako got his PhD.

Mathematics @ UT at Arlington

Exponential

100

Graph f(x)=2^x

(0,1), (2,4), (3,8)

200

What does y=2^x and y=(1/2)^x have in common on their graphs?

y-intercept of (0,1)

300

Graph g(x)=3^x-1

(0,1/3), (1,1), (2,3), horizontal asymptote y=0

Logarithmic Function

100

What is the Logarithmic form for b^y=x?

y=log_bx

200

Write e^y=33 in its equivalent logarithmic form.

ln33=y

300

Evaluate log₂⁵√2

2^1/5=⁵√2

Properties of Logarithms

100

Use the ? rule to expand log₂4xyz

2+log₂x+log_2y+log_2z

200

Use the ? rule to expand ln(e³/7)

3-ln(7)

300

Use logarithmic properties to expand log₆(³√x/36y⁴) as much as possible.

(1/3)log₆(x) - 2 - 4log₆y

400

Write (1/2)log(x) + 4log(x-1) as a single logarithm

log[x^1/2(x-1)⁴]

500

Let log_b2=A and log_b3=C. Write the expression in terms of A and C. 

log_b81

4C

Equations

300

Solve 27^x+3 = 9^x-1

x = -11

400

Solve: 40e^0.6x - 3 = 237

{ln6/0.6} is the solution set!

500

Solve: ln(x+2) - ln(4x+3) = ln(1/x)

The solution set is {3}