Properties
What is 2x = 3 in log form
log23=x
log2x=1
x=5
2x=3
log23=x
x= 1.58
400(1.05)5 = 510.51
$510.51
What is the formula for intensity difference between earthquakes of magnitude M1 and M2
log I1/I2 = M1-M2
logbmn= nlogbm
The power property of logarithms
2logx=-1
+/- (1/10)1/2
+/- sqrt(1/10)
3x-1=72
log372+1=x
x=4.89
What is Pert=A(t)
What is the equation for continuously compounded interest.
Which NCAA basketball team was the first one to ever win the NCAA mens tournament? (hint: this school also lost the first NCAA national championship in football to the team the beat in the basketball tournament)
Oregon Ducks 46 -33 Ohio State (1939) B-ball
Oregon Ducks 20-42 Ohio State (2015) Football
Condense and simplify:
2logx-logx+log3
log3x
2log(x+1)=5
+/- sqrt(105)-1 = x
10^5 = 100000
ex+3=14
ln(14)-3=x
x=-.36
What is the 'm' stand for in the general formula for compound interest?
number of times your interest is compounded per year.
What the name of the number 'e' = 2.718
Euler's Number
list all transformations of the following exponential function:
y=-2(1/4)x+1+7
Scale factor of 2
flipped over x axis
exp. decay
left 1
up 7
log(5-2x)=0
x=2
7-2ex/2=1
2ln(3)=x
2.197
You invest $5,000 in an account that compounds interest monthly at a rate of 7%. How long until your principal doubles in value?
10 years
What is Mr. Peyton-Levine's favorite digital number?
8
In the function A(t)=P(1+r/m)mt m stands for?
the number of times your interest rate is compounded per year.
log24-log2x=3
x=1/2
2+43x-2=100
log498=3x-2
(log498+2)/3
x=1.066
With a rate of 6% compounded continuously, how long would it take for a principal to triple in value?
e.06t=3
about 19 years
What speed in Km/sec does a rocket have to reach to leave earth's gravitational field?
7.7 km/sec