2-a-9-27-b-8-a-b-

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

2^{a} = 9

27^{b} = 8

\Rightarrow a \times b = ?

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

2^{a} = 9 \Rightarrow 2^{a} = 3^{2} (A)

27^{b} = 8 \Rightarrow {(3^{3})}^{b} = 2^{3} \Rightarrow {(3^{b})}^{3} = 2^{3} \Rightarrow 3^{b} = 2 (B)

s u b s t i t u t i n g, 2 = 3^{b} in (A)

{(3^{b})}^{a} = 3^{2} \Rightarrow 3^{a b} = 3^{2} \Rightarrow a b = 2