log₅ (x-1)-log₅ (x-3)=1
log₅ ((x-1)/(x-3))=1
(x-1)/(x-3)=5¹
(x-1) = 5(x-3)
x-1 = 5x-15
5х - х = 15 - 1
4х = 14
х = 7/2
х = 3,5
ответ. х = 3,5
log(x-1)/(x-3)=log5 po osnovaniy 5
(x-1)=5(x-3)
x-1=5x-15
x-5x=-15+1
4x=14
x=3,5
log₅ (x-1)-log₅ (x-3)=1
log₅ ((x-1)/(x-3))=1
(x-1)/(x-3)=5¹
(x-1) = 5(x-3)
x-1 = 5x-15
5х - х = 15 - 1
4х = 14
х = 7/2
х = 3,5
ответ. х = 3,5
log(x-1)/(x-3)=log5 po osnovaniy 5
(x-1)=5(x-3)
x-1=5x-15
x-5x=-15+1
4x=14
x=3,5