Logarithms
Trig
Inverse Functions
Exponentials
100
What is the value of ln(1)?
0
100
Find x + y
70m
100
What is the inverse of y=3x?
y=(x/3)
100
3x+1 = 81
x=3
200
Given that y= log2x
Express log2x2 in terms of y
2y
200
sin2(t)+cos2(t) =
1
200
What is the inverse of y=(5x+3)?
y=(x-3)/5
200
42x-1 = 8x+3
x=11
300
Simplify: log23 - log224
Express your answer as an INTEGER
-3
300
tan(90o) =
UNDEF
300
What is inverse of y=6x+1
y=(x-1)/6
300
You decide to buy a used car that costs $10,000. You’ve heard that the car may depreciate at a rate of 10% per year (non continuous).
At that rate, what will the car be worth in 5 years?
10000(1-0.1)^5=5904.90$
400
2log9(√x)−log9(6x−1)
x=1/5
400
tan(pi/4)
1
400
Inverse of : 2/(x+3)
(-3x+2)/x
400
The initial value of your car is $20,000. After 1 year, the value is $15,000. The depreciation is modelled by a the standard decay formula.
Find the value of the car at this same rate after 5 years from the initial value.
A=2000(0.75)^5 = 4746$
500
ln10−ln(7−x)=lnx
x=2 and x=5
500
tan((2pi)/3)
-sqrt3
500
What is the inverse of (x+5)/(x-5)
(5x+5)/(x-1)
500
e^(-x^2)=e^(2x)*1/e^3
-3 and 1