Math 1314 – Test #3 Review Topics (Ch.4)
14 problems ( ≈ 7 pts each)
All are short answer/partial credit
Topics :
Changing an equation from exponential form to logarithmic form or vice versa
Evaluating logarithms using the change of base formula
Find the domain of a logarithmic function
Graph exponential or logarithmic functions using transformations and then list the
domain and range
Know the domain and range for any exponential function
Know the domain and range for any logarithmic function
Understand the inverse relationship between exponentials and logarithms
Condensing a logarithmic expression into a single logarithm
Expanding a logarithm into a sum or difference of logs
Solve exponential equations (2)
Solve logarithmic equations (2)
Solving word problems involving compound interest
Calculate the growth/decay rate k
Create an exponential growth/decay function
Answer a question using the function
Formulas:
MEMORIZE THESE!!
A  P 1  nr 
nt
A  Pe rt
f (t )  A0 e kt  growth 
f (t )  A0 e  kt (decay)