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Question Number 196954 by Khalmohmmad last updated on 04/Sep/23

Answered by MM42 last updated on 05/Sep/23

$$1)x\times 2^m\times 5^n=24\Rightarrow n=0$$$$a)x\times 2^m=24\times 1\Rightarrow x=24\mathrm{\&}m=0\Rightarrow 2x+3n-m=48$$$$b)x\times 2^m=12\times 2\Rightarrow x=12\mathrm{\&}m=1\Rightarrow 2x+3n-m=23$$$$c)x\times 2^m=6\times 4\Rightarrow x=6\mathrm{\&}m=2\Rightarrow 2x+3n-m=10$$$$d)x\times 2^m=3\times 8\Rightarrow x=3\mathrm{\&}m=3\Rightarrow 2x+3n-m=3$$$$2)n\times 2^x\times 5^p=28\Rightarrow p=0$$$$a)n\times 2^x=28\times 1\Rightarrow n=28\mathrm{\&}x=0$$$$b)n\times 2^x=14\times 2\Rightarrow n=14\mathrm{\&}x=1$$$$c)n\times 2^x=7\times 4\Rightarrow n=7\mathrm{\&}x=2$$$$$$$$$$

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