log -> exponential
log_6(36)=2
6^2=36
5^x=r
log_5(r)=x
log_x(216)=3
x=6
3^x=17
2.57
Exponential growth, with an initial value of 120 and a growth rate of 22%.
y=120(1.22)^x
log_9(x)=w
9^w=x
t^k=m
log_t(m)=k
log_2(512)=x
x=9
20^x=56
1.3437
Exponential decay, with an initial value of 940 and a decay rate of 12%.
y=940(0.88)^x
log_p(4r)=u
p^u=4r
6^(2x-3)=60
log_6(60)=2x-3
log_4(x)=5
x=1024
9^(x+10)=78
-8.0172
Facebook has 100 million users. The number of users increase by 14% each month.
y=100,000,000(1.14)^x
log_18(4x+2)=23x-1
18^(23x-1)=4x+2
(2z+1)^d=f-2
log_(2z+1)(f-2)=d
log(x)=4
x=10000
5*18^(6x)=26
0.0951
Suppose that you are observing the behavior of cell duplication in a lab. In one experiment, you started with 10,000 cells and the cell population decreased by 10% every minute.
y=10000(.90)^x
log of 100 equals 2
10^2=100
two g to the power of 5 equals x
log_(2g)(x)=5
log_2.5(3814.697)=x
x=9
16^(x-7)+5=24
8.062
Suppose that you are observing the behavior of cell duplication in a lab. In one experiment, you start with two cells and the cell population is tripling every minute.
y=2(3)^x