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Question Number 186305 by mustafazaheen last updated on 03/Feb/23

$$\log \left(\frac{3.\overline{2}}{3.\overline{1}}\right)find\mathrm{Characteristic}?$$

Commented by MJS_new last updated on 03/Feb/23

$$\frac{3+\frac{2}{9}}{3+\frac{1}{9}}=\frac{29}{28}=\frac{29}{2^{2}7}$$$$\log \frac{29}{2^{2}7}=\log 29-\log 7-2\log 2$$$$\mathrm{what}\mathrm{do}\mathrm{you}\mathrm{mean}\mathrm{with}‘‘{\mathrm{characteristic}}^{″}?$$$${\mathrm{it}}^{\prime }\mathrm{s}\mathrm{an}\mathrm{irrational}\mathrm{number}$$

Commented by ajfour last updated on 03/Feb/23

$$Ithinkcharacteristicis\left\{\right\}.$$$$\{2.13\}=2,\{-2.13\}=-3$$

Commented by MJS_new last updated on 03/Feb/23

$$\mathrm{if}\mathrm{so}\mathrm{the}\mathrm{answer}\mathrm{is}0$$$$\log 1<\log (1+\frac{1}{28})<\log \mathrm{e}$$$$0<\log (1+\frac{1}{28})<1$$

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