Growth/Decay
e to the ...
Exp or Log
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Solve Equations
100
What's growth rate for f(x)=10^x?
10
100
Which is the largest? e^2,e^3,2^2,2e
e^3
100
\log_5(625) =?
4
100
\ln(x)=100
The natural log of x is 100
100
10^{(n+1)}=1000000
n=2
200
Growth/decay? 100\cdot(1-0.1)^n
10% decay.
200
True/False: e^x is always increasing
True
200
\log_3(27) =?
3
200
\log_2(64)
The log, base 2, of 64
200
\log_{10}(x)=6
1000000
300
Growth factor of trapezoids:
4
300
1\cdot(1+0.00001)^100000 =?
\approx e
300
1024^\frac1{10} =?
2
300
\log_10(1)=0
The log, base 10, of 1 is 0
300
e^y=10
y=2.30
400
Growth/Decay factor:
Decay 88%
400
The inverse of e^x
\ln(x)
400
10^-\frac1{5} =?
0.00001
400
10^2.6\approx400
10, raised to the power 2.6 is approximately 400.
400
6\cdot10^t=360
t=\log60
500
Growth/decay factor: Number of germs reducing by 30% after each washing cycle.
Decay 0.7
500
e^\ln(x) =?
x
500
\log_100(10) =?
\frac1{2}
500
\log_10(1000,000,000,000)
The log, base 10, of 1 trillion
500
\frac1{4}\cdot10^{(d+2)}=0.25
d=-2