Exponential and Logarithm functions

Exponential and Logarithm functions :
Exponential functions : If a is a positive number and x is any number ,
we define the exponential function as :
Exponential and Logarithm functions :
Exponential functions : If a is a positive number and x is any number ,
we define the exponential function as :
Exponential and Logarithm functions :
Exponential functions : If a is a positive number and x is any number ,
we define the exponential function as :
Exponential and Logarithm functions :
Exponential functions : If a is a positive number and x is any number ,
we define the exponential function as :
y = ax with domain : -? < x < ?
Range : y > 0
y = ax with domain : -? < x < ?
Range : y > 0
Exponential and Logarithm functions :
Exponential functions : If a is a positive number and x is any number ,
we define the exponential function as :
y = ax with domain : -? < x < ?
Range : y > 0
The properties of the exponential functions are :
1. If a > 0 ? ax > 0 .
2. ax . ay = ax + y .
3. ax / ay = ax - y .
4. ( ax )y = ax.y .
5. ( a . b )x = ax . bx .
6. y y x y x
x
a ? a ? ( a ) .
7. a-x = 1 / ax and ax = 1 / a-x .
8. ax = ay ? x = y .
9. a0 = 1 ,
a? = ? , a-? = 0 , where a > 1 .
a? = 0 , a-? = ? , where a < 1 .
The graph of the exponential function