Question

Найдите корень уравнения 2^log4(9x+9)=6

Answer 1

ОДЗ : 9x + 9 > 0

9x > - 9

x > - 1

$2^{log_{4} (9x+9)}=6\\\\2^{log_{2}(9x+9)^{\frac{1}{2} }} =6\\\\\frac{1}{2}(9x+9)=6\\\\9x+9=12\\\\9x=3\\\\x=\frac{1}{3}$