Just think different

Algebra Level 3

If $\log_{100}{|x+y|} = \frac{1}{2}$ and $\log{y} - \log{|x|} = \log_{100}{4}$ .

Then find $x+y$

The answer is 10.

1 solution

Manuel Kahayon
Feb 8, 2016

The first equation gives us $|x+y|=10$ . Similarly, since $log y$ is defined, y must be positive, and since $log y - log |x|$ is positive, then y is greater than the absolute value of x. So, $x+y$ must be positive, and must be equal to $\boxed{10}$

Just think different

The answer is 10.

1 solution

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