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Question Number 152942 by mathlove last updated on 03/Sep/21

Commented by mathdanisur last updated on 03/Sep/21

$$8=8^{\mathbf{x}}\Rightarrow \mathrm{x}=1$$

Answered by puissant last updated on 03/Sep/21

$$4!=24and4!!=4\times 2=8$$$$\Rightarrow \frac{4!}{4!!}=\frac{24}{8}=3$$$$2^{\frac{4!}{4!!}}=8^x\Rightarrow 8=8^x\Rightarrow e^{ln8}=e^{xln8}$$$$\Rightarrow ln8=xln8$$$$\Rightarrow x=1..$$

Commented by mathlove last updated on 03/Sep/21

$$thankssir$$

Answered by talminator2856791 last updated on 03/Sep/21

$$$$$$2^{\frac{4!}{4!!}}=8^x$$$$2^{\frac{4!}{4!!}}=2^{3x}$$$$3x=\frac{4!}{4!!}$$$$x=\frac{4!}{3\cdot 4!!}$$$$$$

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