Question

Logaritm in baza 3 din (x+2)-logaritm in baza 3 din (x-4)=1

Answer 1

log3 (x+2) - log3 (x-4) = log3 3
log3 (x+2) = log3 (x-4) + log3 3
log3 (x+2) = log3 (3(x-4))
x+2=3(x-4)
x=7

Answer 2

㏒₃(x+2)-㏒₃(x-4)=1⇒
pe 1=il putem scrie ca ㏒₃3
㏒₃(x+2)-㏒₃(x-4)=㏒₃3
avem aceeasi baza putem  elimina⇒
㏒ₐA-㏒ₐB=㏒ₐA/B⇒
㏒₃(X+2)/(X-4)=1⇒(x+2)/(x-4)=3⇒3(x-4)=x+2⇒3x-12=x+2⇒3x-x=12+2⇒2x=14⇒x=14/2⇒x=7
sucees