A problem by Jonathan Dumale

Level pending

Given that l o g a x + l o g b x = 0 log_{a}x + log_{b} x = 0 a n d and a b x = 998 , abx=998, what is ab + x ?


The answer is 999.

Jonathan Dumale by Jonathan Dumale , 30, Philippines

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1 solution

Romy Das
Jun 11, 2014

Solving the first equation, we get a=1/b => ab = 1 From second equation, abx=998, => x=998 Hence, ab+x= 1+998=999.

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