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