Question

Find the value of $y$ in terms of $x$, if $3^x\times 4^y={12}^x$.

• A. $y=-x$
• B. $y=x$
• C. $2x=y$
• D. $y=x+2$
• E. $x=4y$

Answer 1

The correct option is B $y=x$

Given, $3^x\times 4^y={12}^x$

$\Rightarrow 3^x\times 4^y=3^x\times 4^x$.
Hence, $4^x=4^y$

$\therefore x=y$