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Question Number 128822 by Maclaurin Stickker last updated on 10/Jan/21

Find all positive integers a, b, c and d  such that 2^a =3^b ×5^c +7^d

$${Find}\:{all}\:{positive}\:{integers}\:{a},\:{b},\:{c}\:{and}\:{d} \\ $$$${such}\:{that}\:\mathrm{2}^{{a}} =\mathrm{3}^{{b}} ×\mathrm{5}^{{c}} +\mathrm{7}^{{d}} \\ $$

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