Question

If log a/b + log b/a = log (a + b), then:

Answer 1

Hey mate!

Here's your answer!!

Since log x + log y = log xy, the left side of your equation can be replaced with...

$log( \frac{a}{b} \times \frac{b}{a} )$

And,

$\frac{a}{b} \: times \: \frac{b}{a} = 1$

This means that log 1 = log (a+b)

And therefore, (a+b) = 1.

$hope \: it \: helps \: you...$
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