Properties of Logarithms
Graphing Functions
Growth or Decay
Logarithmic Form
Logarithmic Equations
100
log7+log2
log14
100
y=-5^x
0 0 1 -5 2 25 3 -125
100
How do you determine growth or decay.
If the number is less than 1 but greater than 0 it's a decay, if its greather than one than it's a growth.
100
10^3=1000
log1000=3
100
2^x=8
3
200
5log3+log4
log972
200
y=2(4)^x
0 0 1 8 2 64 3 512
200
10^x
Growth
200
1/10=10^-1
log1/10=-1
200
4^3x=64
1
300
4logm-logn
logm4/n
300
y=3(2)^x
0 0 1 6 2 36 3 216
300
(1/2)^x
decay
300
4=(1/2)^-2
log(1/2)4=2
300
2^5x+1=32
4/5
400
Log 5+log x 6 6
log 5x 6
400
y=-4^x
0 0 1 -4 2 16 3 -64
400
0 1 1 2 2 4 3 8
growth
400
10^-2=0.01
log0.01=-2
400
2^3x=4x+1
2
500
log 4+log y+log 8x 3 3 3
log 32xy 3
500
y=2(3/2)^x
0 0 1 3 2 9 3 27
500
0 1 1 .5 2 .25 3 .125
decay
500
evaluate: log 125 5
3
500
25^2x+1=144
0.2720
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