Answer by Roman for How to solve abstract functional equations?
$$f\left(f(x)-\frac{\ln x}{\ln 2}\right)=3$$Assuming that $f$ is invertible, apply $f^{-1}$ on both sides:$$f(x)-\frac{\ln x}{\ln 2}=f^{-1}(3)$$and therefore$$f(x)=f^{-1}(3)+\frac{\ln x}{\ln 2}$$Now we...
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Question:If the function f[x] defined on x > 0 is a monotone function, and f[f[x] + Log[1/2, x]] == 3 for any x of x > 0, what is the value of x when f[x] == 0?The results obtained by using the...
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