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Question Number 59164 by hovea cw last updated on 05/May/19

$$5^{\mathrm{x}}=0$$$$\mathrm{find}\mathrm{x}$$

Answered by MJS last updated on 05/May/19

$$5^x=0\mathrm{has}\mathrm{no}\mathrm{solution}\mathrm{for}x\in \mathbb{R}$$$$\mathrm{but}:$$$${\underset{x\to -\mathrm{\infty }}{\lim 5}}^x=\underset{x\to +\mathrm{\infty }}{\lim }\frac{1}{5^x}=0$$

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