d) Solve for x 23 cosh(x) — 17 sinh(x) = 19. (Express your solution(s) in exact form.)

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 17E
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(d) Solve for x
23 cosh(x) — 17 sinh(x) = 19.
(Express your solution (s) in exact form.)
(e) If cosh is restricted to the domain [0, ∞) it has a unique inverse, cosh-¹. Using the
definition of cosh in terms of the exponential function, derive the formula
¹ (x + √x² − 1).
cosh ¹(x) = In (x+
= In
Transcribed Image Text:(d) Solve for x 23 cosh(x) — 17 sinh(x) = 19. (Express your solution (s) in exact form.) (e) If cosh is restricted to the domain [0, ∞) it has a unique inverse, cosh-¹. Using the definition of cosh in terms of the exponential function, derive the formula ¹ (x + √x² − 1). cosh ¹(x) = In (x+ = In
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