Question

If $1125=3^x\times 5^y$ then find the value of $x+y$.

• A. 2
• B. 3
• C. 5
• D. 1

Answer 1

The correct option is C

5

$1125=3\times 3\times 5\times 5\times 5$

$=3^2\times 5^3$

Given, $1125=3^x\times 5^y$

$\Rightarrow 3^2\times 5^3=3^x\times 5^y$

$\Rightarrow x=2andy=3$

$\therefore x+y=2+3=5$