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Question

Question: If \({\tan h}x = \frac{3}{4}\), then the value of x is....

If tan⁡hx=34{\tan h}x = \frac{3}{4}, then the value of x is.

A

7\sqrt{7}

B

−7- \sqrt{7}

C

log⁡7\log\sqrt{7}

D

−log⁡7- \log\sqrt{7}

Answer

log⁡7\log\sqrt{7}

Explanation

Solution

x=tanh⁡−1(3/4)=12log⁡(1+3/41−3/4)=12log⁡7=log⁡7x = \tanh^{- 1}(3/4) = \frac{1}{2}\log\left( \frac{1 + 3/4}{1 - 3/4} \right) = \frac{1}{2}\log 7 = \log\sqrt{7}.