Switching Forms
Switch forms:
3^2=9
log_3(9)=2
log(2)+log(x)
log(2x)
log_4(x)=3
x=4^3=64
3^x=17
x=2.5789
The following story represents exponential _____.
A flu outbreak hits your school on Monday, with an initial number of 20 ill students coming to school. The number of ill students increases by 25% per hour.
Growth
Switch forms:
log_4(1/4)=-1
4^-1=1/4
ln(3x)-ln(3)
ln(3x/3)=ln(x)
log_5(2x-1)=3
x=63
3*5^x=1875
x=4
Write an equation for the following scenario:
A flu outbreak hits your school on Monday, with an initial number of 20 ill students coming to school. The number of ill students increases by 25% per hour.
y = 20(1.25)^x?
log_7(1)=0
7^0=1
log_3(x^3*y)
3*log_3(x)-log_3(y)
log_2(3x+4)=log_2(-2x+5)
x=1/5 or .2
5*18^(6x) = 26
x=0.0951
You buy a new car for $34,000. The value decreases by 3.75% each year. Write an equation to represent this scenario.
y = 34,000(0.9625)^x
Switch forms:
log(10,000)=4
10^4=10,000
4log(x)-6log(y)
log(x^4/y^6)
log_7(x^2+2x)=log_7(2x+4)
x= -2 or 2
9^(x + 10) + 3 = 81
x=−8.0172
Madeline decided to invest her $500 Christmas money. She found a bank offering 5.5% compounded annually. What will be her ending balance after investing for 4 years?
$619.41
Switch forms:
ln(7.389)=2
e^2=7.389
ln((4x)/y)^2
2*(ln(4)+ln(x)-ln(y))
log(x)+log(2+x)=log(x^2)
x=0
e^(x − 1) − 5 = 5
x=3.3026
Madeline decided to invest her $500 Christmas money. She found a bank offering 5.5% compounded continuously. How long will it take for her investment to double?
12.95 Years