The odd function f (x) defined on R satisfies: when x > 0, f (x) = 2009 ^ x + log2009 x, then the number of real roots of equation f (x) = 0 is? F (x) = 2009 ^ x + log2009 (x) is there any conversion relationship between 2009 ^ X and log2009 x

The odd function f (x) defined on R satisfies: when x > 0, f (x) = 2009 ^ x + log2009 x, then the number of real roots of equation f (x) = 0 is? F (x) = 2009 ^ x + log2009 (x) is there any conversion relationship between 2009 ^ X and log2009 x

When x tends to 0 +, it means that the function tends to 0 from the right. F (x) = 2010x + ㏒ 2010x2010 ^ 0 = 1. The logarithmic function is negative infinity next to 0, so f (x) 0 is only a part of it. X > 0 has a real root. When x 0, f (x) = 2009x + ㏒ 2009xf (x) is monotonically increasing, and when x tends to 0 +, f (x) 0) so when x > 0, there must be a