Question Number 10131 by konen last updated on 26/Jan/17

2^a =9  27^b =8  ⇒a×b=?

Answered by prakash jain last updated on 26/Jan/17

2^a =9⇒2^a =3^2      (A)  27^b =8⇒(3^3 )^b =2^3 ⇒(3^b )^3 =2^3 ⇒3^b =2 (B)  substituting, 2=3^b  in (A)  (3^b )^a =3^2 ⇒3^(ab) =3^2 ⇒ab=2