e = exp(1) is called the exponential function. Which of the following are true?

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter4: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 12CC: Suppose that the initial size of a population is n0 and the population grows exponentially. Let n(t)...
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e = exp(1) is called the exponential function. Which of the following are true?
(Select all that are correct.)
k
exp(x) = Σk=0 %/!
exp(x)
=
Ə
əx
-exp(x)
□ exp(x) = exp (2/2) + exp ( ² )
exp(x): = exp (2) exp (2/2)
□ In(exp(x)) = x
Transcribed Image Text:e = exp(1) is called the exponential function. Which of the following are true? (Select all that are correct.) k exp(x) = Σk=0 %/! exp(x) = Ə əx -exp(x) □ exp(x) = exp (2/2) + exp ( ² ) exp(x): = exp (2) exp (2/2) □ In(exp(x)) = x
In statistics, we use the notation 'log' to mean the logarithm with base e, or
natural log. In calculus, this is sometimes notated 'In'. Which are true about the
natural log? (Select all that are correct.)
log(exp(x)) = x
log(x + y) = log(x) + log(y)
□ log(xy) = log(x) + log(y)
log(x) = log(x)"
□ log(x²) = y × log(x)
Transcribed Image Text:In statistics, we use the notation 'log' to mean the logarithm with base e, or natural log. In calculus, this is sometimes notated 'In'. Which are true about the natural log? (Select all that are correct.) log(exp(x)) = x log(x + y) = log(x) + log(y) □ log(xy) = log(x) + log(y) log(x) = log(x)" □ log(x²) = y × log(x)
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