Finding the Inverse
f(x)=4x-1
f^-1(x)=(x+1)/4
log_2(8)=3
2^3=8
This number is known as the only even prime number.
What is 2?
f(x)=2^x
f^-1(x)=log_2(x)
7^2=49
log_7(49)=2
f(x)=7x+4
f^-1(x)=(x-4)/7
log_5(125)=3
5^3=125
This famous ratio appears in nature, art, and architecture.
What is the golden ratio?
f(x)=5^(x+1)
f^-1(x)=log_5(x)-1
(1/2)^-2=4
log_(1/2)(4)=-2
f(x)=-3x+8
f^-1(x)=(8-x)/3
log(0.01)=-2
10^-2=0.01
This mathematical constant tells you the ratio of a circle’s circumference to its diameter.
What is pi?
f^-1(x)=log(x-2)
f^-1(x)=10^x+2
9^(1/2)=3
log_9(3)=1/2
f(x)=x^3+2
f^-1(x)=sqrt(x-2)
log_3(1/9)=-2
3^-2=1/9
This number is called the “identity” for multiplication because multiplying by it leaves a number unchanged.
What is 1?
f(x)=ln(3x)
f^-1(x)=(e^x)/3
16^(-1/2)=1/4
log_16(1/4)=-1/2
f(x)=4x^3-7
f^-1(x)=sqrt((x+7)/4)
log_4(16)=2
4^2=16
This type of number cannot be written as a fraction and has a decimal that never repeats.
What is an irrational number?
f(x)=log_2(x+5)
f^-1(x)=2^x-5
25^(1/2)=5
log_25(5)=1/2