7.8.5-eg-1 - rithms sinh(3 ln 2 = e 3ln2-e-3ln2 2 = 1 2 ±...

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Example Simplify sinh(3ln2) as much as possible. Give your answer as a rational expression of the form m n . Rewrite hyperbolic sine in terms of exponentials, then simplify using properties of loga-
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Unformatted text preview: rithms. sinh(3 ln 2) = e 3ln2-e-3ln2 2 = 1 2 ± 2 3-2-3 ² = 8 2-1 2 · 8 = 63 16 ....
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