The odd function f (x) defined on R satisfies: when x > 0, f (x) = 2010x + ㏒ 2010x, then the root number of the real number of the equation f (x) = 0 on R is () Note: 2010x is the x power of 2010. ㏒ 2010x is the bottom of 2010, and X is the true number

The odd function f (x) defined on R satisfies: when x > 0, f (x) = 2010x + ㏒ 2010x, then the root number of the real number of the equation f (x) = 0 on R is () Note: 2010x is the x power of 2010. ㏒ 2010x is the bottom of 2010, and X is the true number


When x > 0, f (x) = 2010x + ㏒ 2010x, f (x) is monotonically increasing, and when x tends to 0 +, f (x) 0), so when x > 0, there must be a real root. Because x = 1 is an odd function, it is also an X