Question Number 145071 by imjagoll last updated on 02/Jul/21
$$\mathrm{log}\:_{\left(\frac{\mathrm{x}}{\mathrm{2}}\right)} \left(\mathrm{x}+\mathrm{2}\right)\:=\:\mathrm{1}+\:\mathrm{log}\:_{\mathrm{x}} \left(\mathrm{4}−\mathrm{x}\right) \\ $$$$\:\mathrm{x}=? \\ $$
Answered by MJS_new last updated on 02/Jul/21
$$\mathrm{we}\:\mathrm{can}\:\mathrm{only}\:\mathrm{approximate} \\ $$$$\mathrm{0}<{x}<\mathrm{4} \\ $$$$\mathrm{I}\:\mathrm{found}\:{x}\approx.\mathrm{454822360} \\ $$