A logarithmic equation

Algebra Level 4

The sum of all (positive) solutions of the equation

log16x+logx16=log512x+logx512\log_{16}x +\log _x 16=\log_{512} x + \log_x {512}

can be written as ab \frac{a}{b} , where aa and bb are coprime positive integers. What are the last three digits of a+ba+b?

×

Problem Loading...

Note Loading...

Set Loading...