Question

Найдите корень уравнения log11(4x-11)+log11 9=log11 243

Answer 1

log11(4x-11)+log11(9)=log11(243)
log11((4x-11)*9)=log11(243)
log11(36x-99)-log11(254)=0
log11((36x-99)/254))=0
(36x-99)/254=11^0=1
36x-99=254
36x=353
x=9.81