Chapter 4 Of College Precalculus

Front 1

The Natural Exponential Function

Back 1

The exponential function
f(x) = e^x
with base e

Front 2

Compound interest formula

Back 2

A(t) = P( 1 + r/n )^nt

Front 3

Continuously compounded interest

Back 3

A(t) = Pe^rt

Front 4

log(AB) = ?

Back 4

logA + logB

Front 5

log(A/B) = ?

Back 5

logA - logB

Front 6

log(A^C) = ?

Back 6

C*logA

Front 7

Expanding a logarithmic expression

Back 7

Using the Laws of Logarithms to write the logarithm of a product or a quotient as the sum or difference of logarithms

Front 8

Combining a logarithmic expression

Back 8

Using the Laws of Logarithms to write the sums and differences of logarithms as a single logarithm

Front 9

Guidelines for Solving Exponential Equations

Back 9

1) Isolate the exponential expression on one side of the equation.
2) Take the logarithm of each side, then use the Laws of Logarithm to "bring down the exponent."
3) Solve for the variable.

Front 10

Exponential equation

Back 10

An equation in which the variable occurs in the exponent

Front 11

Logarithmic equation

Back 11

An equation in which a logarithm of the variable occurs

Front 12

Guidelines for Solving Logarithmic Equations

Back 12

1) Isolate the logarithmic term on one side of the equation; you may first need to combine the logarithmic terms.
2) Write the equation in exponential form.
3) Solve for the variable.