Solve the equation tanh^(−1) (((x−2)/(x+1))) = ln 2 show that the set {1,2,4,8} under ×_(15) ,multiplication mod 15 forms a group.


Question and Answers Forum

All Questions Topic List
Others Questions
Previous in All Question Next in All Question
Previous in Others Next in Others
Question Number 68676 by Rio Michael last updated on 14/Sep/19
$Solve the equation tanh^(−1) (((x−2)/(x+1))) = ln 2 show that the set {1,2,4,8} under ×_(15) ,multiplication mod 15 forms a group.$
$S o l v e t h e e q u a t i o n$ ${t a n h}^{- 1} (\frac{x - 2}{x + 1}) = l n 2$ $s h o w t h a t t h e s e t {1, 2, 4, 8} u n d e r \times_{15}, m u l t i p l i c a t i o n m o d 15 f o r m s a g r o u p .$
Commented by MJS last updated on 14/Sep/19

$\tanh^{- 1} t = \frac{\ln (1 + t)}{2} - \frac{\ln (1 - t)}{2}$ $e^{\tanh^{- 1} t} = \sqrt{\frac{1 + t}{1 - t}}$ $t = \frac{x - 2}{x + 1}$ $\Rightarrow$ $\sqrt{\frac{2 x - 1}{3}} = 2$ $\Rightarrow x = \frac{13}{2}$
Commented by Rio Michael last updated on 15/Sep/19

$t h a n k y o u s i r$
Terms of Service
Privacy Policy
Contact: info@tinkutara.com

Question and Answers Forum