2log2 x+log корень из 2 х+log1/2 х=9

Question

2log2 x+log корень из 2 х+log1/2 х=9

Answer 1

2log₂x+log(√₂)x+log₁/₂x=9;
2log₂x+log₂¹/²x+log₂⁻¹x=9;
2log₂x+2log₂x-log₂x=9;
3log₂x=9;
log₂x=3;
x=2³=8;