Cрочно!! log7(x-1) log7 x=log7 x

Question

Cрочно!! log7(x-1) log7 x=log7 x

Answer 1

ОДЗ
{x>0
{x-1>0⇒x>1
x∈(1;∞)
log(7)(x-1*log(7)x-log(70x=0
log(7)x*(log(7)(x-1)-1)=0
log(7)x=0⇒x=1 ∉ОДЗ
log(7)(x-1)=1
x-1=7
x=8