Question

If $\frac{\log 5 + \log(x^{2} + 1)}{\log(x - 2)} = 2$ and $x = \sqrt{7 + 4\sqrt{3}},$ are roots of $x + \frac{1}{x} =$, then

$\log_{2}x + \log_{x}2 = \frac{10}{3} = \log_{2}y + \log_{y}2$is equal to.

• A. $x \neq y,$
• B. $x + y =$
• C. $x = \sqrt{2 + \sqrt{2 + \sqrt{2 + .....}}}$
• D. $4^{x} - 3^{x\mspace{6mu} - \mspace{6mu}\frac{1}{2}} = 3^{x + \frac{1}{2}} - 2^{2x - 1}$

Answer 1

Answer: (C)

$x = \sqrt{2 + \sqrt{2 + \sqrt{2 + .....}}}$

Answer 2

Given equation is $x$.

So $\alpha,\beta$and $x^{2} + (3 - \lambda)x - \lambda = 0.$

Now $\lambda$.