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Home › AP EAMCET › Mathematics › Trigonometry: Hyperbolic Functions › When e^x = 3, what does tanh x evaluate to?

When e^x = 3, what does tanh x evaluate to?

A2/3
B5/4
C4/5
D3/5
Answer & Solution
Correct answer: C. 4/5
tanh x = (e^(2x) - 1)/(e^(2x) + 1) = (9 - 1)/(9 + 1) = 8/10 = 4/5.
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