Question

log 3 x+log 9 x=3 va roggg​

Answer 1

Răspuns:

9

Explicație pas cu pas:

Conditii: x>0 => x∈(0;+∞) => D=(0;+∞)

log₃x+log₉x=3

log₃x+log₃x/log₃9=3

log₃x+log₃x/2=3

(1+1/2)log₃x=3

$\frac{3}{2}$log₃x=3

log₃x=6/3

log₃x=2

x=3²=>x=9 ∈ D => S={9}