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Question-17675




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

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