
Answers to Questions on Logarithmic Functions
 Question: What is log_{3}81?
Answer: 4; because 81 = 3^{4}
 Question: What is log_{5}1/125?
Answer: 3; because 1/125 = 1/(5^{3}) =
5^{3}
 Question: What is log 10,000?
Answer: 5; because 10,000 = 10^{5}
 Question: What is ln (1/e^{3})?
Answer: 3; because 1/e^{3} =
e^{3}
 Question: What is log_{16}1/8?
Answer: 3/4; because 16^{3/4} =
(16^{1/4})^{3} = 2^{3} = 1/8
Return to Exercises
 Question: What is the domain of f(z) = ln z?
Answer: {z  z > 0}
 Question: What is the domain of f(x) = log (x 
3)?
Answer: {x  x >3}
 Question: What is the domain of g(t) =
log_{5}(t)?
Answer: {t  t < 0}
 Question: What is the domain of h(x) = 1  ln (x +
5)?
Answer: {x  x > 5}
Return to Exercises
