Question

(√3+√2)^x=5-2√6. Please solve the problem.

Answer 1

Answer:

$to \: find \: x \\ given \: \: {( \sqrt{3} + \sqrt{2})}^{x} = 5 - 2 \sqrt{6}$

Step-by-step explanation:

$x = \frac{ log(5 - 2 \sqrt{6} ) + 2in\pi}{ log( \sqrt{2} + \sqrt{ 3} ) } \: \: \: \: where \: n \: belong \: to \: z \\ for \: \: real \: \: sol. \: x = \: \frac{ log(5 - 2 \sqrt{6} ) }{ log( \sqrt{2} + \sqrt{ 3} ) }$

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