Exponential functions
A bacteria population starts with 6 and it increases at a rate of 35% per hour. Write an equation to represent the population after 4 hours.
6(1.35)4
Convert to exponential form:
log10100=2
102=100
Find the value of x:
log10100,000=x
5
Whose catchphrases are these:
"delete that, nobody asked, and the crowd goes....silent!"
Kayla
The population of a city is currently 500,000, and it is growing exponentially at a rate of 3% per year. Write an equation to represent the population after 20 years.
500000(1.03)20
Convert to logarithmic form:
104=10,000
log1010,000=4
Find the value of x:
log10x=9
1,000,000,000
When asked for something not many people know, who said:
"I love reggae music and it was the first genre that made me love music"
Cayden
The value of a smartphone depreciates at a rate of 15% per year. If the initial value is $1,000, write an equation to find the smartphone's value after 3 years.
1000(0.85)3
How do you convert this to exponential form?
logbx=y
by=x
Convert to exponential form:
log10.001=-3
10-3=.001
Find the value of x:
log21=x
0
When asked for their unique talent, who said:
"i can back flip"
Jason
The value of a computer depreciates at a rate of 8% per year. If the initial value is $2,500, write an equation to represent the computer's value after 7 years.
2500(0.92)6
log101 = 0 because...
Anything to the power of 0 is 1
Convert to logarithmic form:
2-4=1/16
log2(1/16)=-4
Find the value of x:
log2x=5
32
When asked what character they would be, who said:
"deadpool"
Jayden
The population of rabbits doubles every 6 months. If there are initially 100 rabbits, write an equation to represent the population after 2 years.
100(2)24/6 or 100(2)4
What does log tell you?
the exponent you need to get the base to equal the given number
Convert to logarithmic form:
21=2
log22=1
Find the value of x:
logx243 = 5
3
When asked what place they would visit, who said:
"Las Vegas"
Jeneyda