Question

Логарифмическое уравнение.
lg(x-6) - 1/2 lg2 = lg3 + 1/2

Answer 1

lg(x-6)-lg$sqrt{2}$=lg3+lg$sqrt{10}$
lg(x-6/$sqrt{2}$)=lg3$sqrt{10}$
x-6/$sqrt{2}$=3$sqrt{10}$
x-6=3$sqrt{20}$
x=3$sqrt{20}$+6