Basic of Logarithms
normal

If ${\log _{10}}x + {\log _{10}}\,y = 2$ then the smallest possible value of $(x + y)$ is

A

$10$

B

$30$

C

$20$

D

None of these

Solution

$\log _{10} x y=2$

$x y=100$

$\frac{x+y}{2} \geq \sqrt{x y}$

$(x+y) \geq 20$

Standard 11
Mathematics

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