1. (a) Using the definitions of hyperbolic functions in terms of exponentials, show that

$$1 - \tanh ^ { 2 } x \equiv \operatorname { sech } ^ { 2 } x$$ (b) Solve the equation $$2 \operatorname { sech } ^ { 2 } x + 3 \tanh x = 3$$ giving your answer as an exact logarithm.
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