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Question Number 169407 by Shrinava last updated on 29/Apr/22

Answered by Rasheed.Sindhi last updated on 01/May/22

If N={0,1,2,...}  M={(0,0,0,0)}  Ω=0  16^x +16^(1/x) =8 has no solution.

$$\mathrm{If}\:\mathbb{N}=\left\{\mathrm{0},\mathrm{1},\mathrm{2},...\right\} \\ $$$$\mathrm{M}=\left\{\left(\mathrm{0},\mathrm{0},\mathrm{0},\mathrm{0}\right)\right\} \\ $$$$\Omega=\mathrm{0} \\ $$$$\mathrm{16}^{{x}} +\mathrm{16}^{\frac{\mathrm{1}}{{x}}} =\mathrm{8}\:{has}\:{no}\:{solution}. \\ $$

Commented by mr W last updated on 03/May/22

(1,1,2,4) is a valid solution, which  gives totally 12 possible solutions.  Ω=12×8=96.  is this correct?

$$\left(\mathrm{1},\mathrm{1},\mathrm{2},\mathrm{4}\right)\:{is}\:{a}\:{valid}\:{solution},\:{which} \\ $$$${gives}\:{totally}\:\mathrm{12}\:{possible}\:{solutions}. \\ $$$$\Omega=\mathrm{12}×\mathrm{8}=\mathrm{96}. \\ $$$${is}\:{this}\:{correct}? \\ $$

Commented by Rasheed.Sindhi last updated on 03/May/22

Thanks sir and sorry for my wrong   answer.

$$\mathbb{T}\mathrm{han}\Bbbk\mathrm{s}\:\boldsymbol{\mathrm{sir}}\:\mathrm{and}\:\mathrm{sorry}\:\mathrm{for}\:\mathrm{my}\:\mathrm{wrong}\: \\ $$$$\mathrm{answer}. \\ $$

Commented by mr W last updated on 03/May/22

i′m not sure what is the right answer.

$${i}'{m}\:{not}\:{sure}\:{what}\:{is}\:{the}\:{right}\:{answer}. \\ $$

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