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Question Number 67294 by Rio Michael last updated on 25/Aug/19
solve for  x and y the simultaneous equation   log_3 x = y = log(2x − 1)
$${solve}\:{for}\:\:\mathrm{x}\:\mathrm{and}\:\mathrm{y}\:{the}\:{simultaneous}\:{equation} \\ $$$$\:\mathrm{log}_{\mathrm{3}} {x}\:=\:{y}\:=\:\mathrm{log}\left(\mathrm{2}{x}\:−\:\mathrm{1}\right) \\ $$
Commented by mr W last updated on 25/Aug/19
log_a 1=0  x=1⇒2x−1=1  ⇒therefore x=1 is a solution
$$\mathrm{log}_{{a}} \mathrm{1}=\mathrm{0} \\ $$$${x}=\mathrm{1}\Rightarrow\mathrm{2}{x}−\mathrm{1}=\mathrm{1} \\ $$$$\Rightarrow{therefore}\:{x}=\mathrm{1}\:{is}\:{a}\:{solution} \\ $$
Commented by mr W last updated on 25/Aug/19
x=1  y=0
$${x}=\mathrm{1} \\ $$$${y}=\mathrm{0} \\ $$
Commented by Rio Michael last updated on 25/Aug/19
how come sir?
$${how}\:{come}\:{sir}? \\ $$

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