Найдите x если log 5 x =2log 5 3+1/2log 5 49-1/3log 5 27

Question

Найдите x если log 5 x =2log 5 3+1/2log 5 49-1/3log 5 27

Answer 1

Log₅x=2log₅3+1/2log₅49-1/3log₅27
log₅x=log₅3²+log₅√49-log₅∛27
log₅x=log₅9+log₅7-log₅3
log₅x=log₅(9*7/3)
log₅x=log₅21
x=21