Question Number 190802 by mathlove last updated on 12/Apr/23
$${log}_{{x}} {x}={x}^{\mathrm{5}{x}−\mathrm{10}} \:\:\:\:\:{x}=? \\ $$
Answered by gungun last updated on 12/Apr/23
$$\mathrm{log}_{{a}} {a}=\mathrm{1} \\ $$$${a}^{\mathrm{5}{a}−\mathrm{10}} =\mathrm{1} \\ $$$${a}^{\mathrm{5}{a}−\mathrm{10}} ={a}^{\mathrm{0}} \\ $$$$\mathrm{5}{a}−\mathrm{10}=\mathrm{0} \\ $$$${a}=\mathrm{2} \\ $$$${x}=\mathrm{2} \\ $$
Commented by mathlove last updated on 12/Apr/23
$${thanks} \\ $$