Product Rule
If you multiply by the same base, then add the exponents
Exponential
Logarithmic
Quotients Rule
If you divide by the same base, then subtract the exponents
Product Rule
Zero Exponent
Anything to the power of zero is one.
The log of a product is the sum of the logs of the factor
Power Rules
Quotient Rule
If a power is raised to a power, then multiply the exponents.
If a product is raised to a power, then each factor is raised to that
exponent
The log of a quotient is the difference of the logs of the numerator
and denominator
Power Rule
If a quotient is raised to a power, then both the numerator and
denominator are raised to that exponent.
Negative Exponents
The log of a number raised to an exponent is the exponent times
the log of the number
Change of base
A negative exponent is simply the reciprocal.
Jaime Hurtado/ECC Learning Center
Compound Interest
Exponential growth
A=Future Value
P= Present Value
r = percent rate (as a decimal)
n= compounded (number of times per year)
t = time in years
= initial amount
= final amount
t = time
= initial amount
= final amount
t = time
Theorem of Inverse
Compounded
Annually
Semiannually
Quarterly
Monthly
Daily
Exponential decay
n=1
n=2
n=4
n=12
n=365
Common Log
Compound continuously
Special properties
A=Future Value
P= Present Value
r = percent rate (as a decimal)
t = time in years
Jaime Hurtado/ECC Learning Center