Question

What is Y in $8^Y=16$?

• A. $\frac{4}{3}$
• B. $\frac{2}{3}$
• C. $2$
• D. $1$

Answer 1

The correct option is A $\frac{4}{3}$

$8^Y=16$
$⟹(2\times 2\times 2{)}^Y=2\times 2\times 2\times 2$
$⟹2^{3Y}=2\times 2\times 2\times 2$
$⟹2^{3Y}=2^4$
As the bases are same, $3Y=4$
$\therefore Y=\frac{4}{3}$