7.2 Solving Exponential Equations And Inequalities
Question: Property of Equality for Exponential Functions
Answer: let b>0 and b is not equal 1 then b^x=b^y only if x = y
example : 3^x = 3^5 then x = 5 if x= 5 then 3^x=3^5
Question: Solve
2^x+3= 8
Answer: 2^x+3 =8
2^x+3 = 2^3
x+3 = 3
x=0
Question: Compound interest formula
Answer: A = P (1 + r/n)^n*t
A= amount after t years
P= amount invested
r= interest rate as a decimal
n= number of compound per year
t= time in years
Question: Compounds
Answer: annually= 1
quarterly= 4
monthly= 12
daily= 365
semiannually= 2
Question: Property of inequality for Exponential Functions
Answer: let b>1 then b^x > b^y if and only if x >y and b^x<b^y
if and only if x<y
example: if 2^x> 2^6 then x > 6 if x > 6 then 2^x > 2^6