Characteristics
Word Problems
Transformations
Solve The Log
Mixed Bag
Convert Percents
1
What is the range of any logarithmic function?
(-oo, +oo)
1
How do you convert from a percent to a decimal?
Divide the percent by 100
1
Which variable do we use for horizontal transformations?
Which variable do we use for vertical transformations?
h
k
1
y=log416
y=2
1
True / False
The base of a logarithm is the same in both exponential and logarithmic form.
True
1
Convert 56.5% to a decimal.
0.565
2
What is the vertical line called that function approaches but never reaches?
Vertical Asymptote
2
True/False
If the starting amount is more than the final amount you should subtract the rate from 1.
(1 - r)
True
2
What direction AND by how many units is the horizontal shift of the following function?
y=-4log(x+3)-2
3 units to the left.
2
y = log3(1/27)
y = -3
2
Logarithms are the _____________ of exponential functions.
Inverse. 
2
Convert 0.439% to a decimal.
0.00439
3
What is the domain of the following function?
(-4, +oo)
3
A city has 79,000 people living in it. If the population is increasing at the rate of 4.2% per year, how many years will it take for the population to reach 158,000 people?
16.85 years
3
y=-3/2log(x-4)
What type of transformations does the following function have?
Horizontal shift to the right by 4 units.
Vertical stretch.
Reflection across the x-axis.
3
y = log6216
y = 3
3
Finish this sentence:
We use logarithms to solve for _____________.
Exponents.
3
Convert 8025% to a decimal.
80.25
4
Complete the End Behavior
As
x->+oo, y->
As
x-> vertical asymptote, y->
+oo
-oo
4
You win $550 and decide to invest it in cryptocurrency. Its value suddenly decreases at a rate of 0.47% per day. How many days before your $550 is worth only $500?
20.23 days
4
What type of transformations does the following function have?
y=-8/7log(x+8)-12
Horizontal shift left by 8 units.
Vertical shift down by 12 units.
Vertical stretch.
Reflection across the x-axis.
4
7 y = 2401
y = 4
4
8 y = 1
Solve for y
y = 0
4
Convert two percent to a decimal.
0.02
5
Using Desmos, what is the zero of this logarithm?
y=log(x+6)-4
The base is 2.
(10, 0)
5
You wake up and your energy level is at 100%. Your energy level decreases at a rate of 34% per hour. How many hours until you have half of your energy left?
1.67 hours
5
Using Desmos, what is the y-intercept of this logarithm?
y=log(x+6)-4
The base is 2.
(0, -1.42)
5
8 y = 32768
y = 5
5
Free 5 point shot attempt for anybody in your group.
5
Convert one hundred percent to a decimal.
1.00