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Solve-the-equation-2-a-3-b-7-c-c-2-cbb-6-a-b-c-P-




Question Number 145003 by mathdanisur last updated on 01/Jul/21
Solve the equation:  2^a 3^b 7^c  = c^2 cbb^6  ^(−)   ;  a;b;c∈P
$${Solve}\:{the}\:{equation}: \\ $$$$\mathrm{2}^{\boldsymbol{{a}}} \mathrm{3}^{\boldsymbol{{b}}} \mathrm{7}^{\boldsymbol{{c}}} \:=\:\overline {\boldsymbol{{c}}^{\mathrm{2}} \boldsymbol{{cbb}}^{\mathrm{6}} \:}\:\:;\:\:\boldsymbol{{a}};\boldsymbol{{b}};\boldsymbol{{c}}\in\boldsymbol{{P}} \\ $$

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