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 C-10klog(4) S- (b) Using part (a), if k = 3 and the area is tripled, then by what magnitude is the number of species increased?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 16E
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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 =
10k log (4)
C 10
(b) Using part (a), if k = 3 and the area is tripled, then by what magnitude
the number of species increased?
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Transcribed Image Text: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 = 10k log (4) C 10 (b) Using part (a), if k = 3 and the area is tripled, then by what magnitude the number of species increased? su... delete home num backspace lock (8)
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