Если log2a=2 и log3b=2? то чему равен log 6 ab

Question

Если log2a=2 и log3b=2? то чему равен log 6 ab

Comments

lда

Answer 1

Log(2)a=2⇒log(6)a/log(6)2=2⇒log(6)a=2log(6)2=log(6)4
log(3)b=2⇒log(6)b/log(6)3=2⇒log(6)b-2log(6)3=log(6)9
log(6)ab=log(6)a+log(6)b=log(6)4+log(6)9=log(6)(4*9)=
=log(6)36=2