Question Number 17675 by mondodotto@gmail.com last updated on 09/Jul/17
Answered by Tinkutara last updated on 10/Jul/17
$$\mathrm{Let}\:{a}^{{y}} \:=\:{x}\:\left(\boldsymbol{{i}}\right) \\ $$$$\mathrm{Taking}\:\mathrm{log}\:\mathrm{on}\:\mathrm{both}\:\mathrm{sides},\:\mathrm{log}_{{a}} \:{x}\:=\:{y} \\ $$$$\mathrm{Substituting}\:\mathrm{this}\:\mathrm{value}\:\mathrm{of}\:{y}\:\mathrm{in}\:\left(\boldsymbol{{i}}\right),\:\mathrm{we} \\ $$$$\mathrm{get}\:\boldsymbol{{a}}^{\boldsymbol{\mathrm{log}}_{\boldsymbol{{a}}} \:\boldsymbol{{x}}} \:=\:\boldsymbol{{x}}. \\ $$
Commented by mondodotto@gmail.com last updated on 09/Jul/17
$$\mathrm{thanx}\:\mathrm{a}\:\mathrm{lot} \\ $$