Answer
True.
Work Step by Step
Dividing each side of the equation by $\cosh(x)$ yields $$1=\tanh(x)$$ $\tanh(x)$ has a horizontal asymptote at $y=1$, so $\tanh^{-1}(1)$ is undefined and there is no solution.
Calculus, 10th Edition (Anton)
by Anton, Howard
Published by
Wiley
ISBN 10:
0-47064-772-8
ISBN 13:
978-0-47064-772-1
Chapter 6 - Exponential, Logarithmic, And Inverse Trigonometric Functions - 6.8 Hyperbolic Functions And Hanging Cables - Exercises Set 6.8 - Page 481: 45
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