Question

what is the value of log3÷2(27÷8)​

Answer 1

Answer:

^

Step-by-step explanation:

⇒log a  X^n=n log a X,

⇒log a a=1,

⇒Now,

⇒log 2/3 (8/27)=log 2/3(2³/3³),

⇒log 2/3 (2/3)³  [Applying(1), for n=3],

⇒(3)log(2/3)(2/3),

⇒3(1)=3.[Applying(2) for  a=2/3].

Hope it helps.