ASK YOUR TEACHER   Some biologists model the number of species S in a fixed area A (such as an island) by the species-area relationship log(S) = log(c) + k log(A) where c and k are positive constants that depend on the type of species and habitat.   (a) Solve the equation for S. S =         (b) Using part (a), if k = 3 and the area is doubled, then by what magnitude is the number of species increased?

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Exponential And Logarithmic Functions
Section5.5: Exponential And Logarithmic Models
Problem 2ECP
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ASK YOUR TEACHER
 
Some biologists model the number of species S in a fixed area A (such as an island) by the species-area relationship
log(S) = log(c) + k log(A)
where c and k are positive constants that depend on the type of species and habitat.
 
(a) Solve the equation for S.
S =
 
 
 
 

(b) Using part (a), if k = 3 and the area is doubled, then by what magnitude is the number of species increased?
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