# scaling x values of a graph based on a specific function

I have the following equation in which the variable Q is raised to 1.85.

f(Q)= A*Q^1.85


A is known constant. For practical reasons I want to plot the above equation as this

f(X)=A*X where X=Q^1.85


That would be very easy but I want to have the x axis displaying the Q values not the Q^1.85 (or X). From what I could find myself, the solution could be using the 'func' as one of the options of 'Ticks', at least this is what I read here. But no matter how I much I searched, I couldn't find an example of properly introducing a function to plot the Q values instead of Q^1.85.

How could this be achieved?

A=1
f[Q_]:= A Q^1.85

Plot[
f[Q],
{Q,0,10},
ScalingFunctions->{{#^1.85&,#^(1/1.85)&},"Linear"},
Ticks-> {Range[0,10,1],Automatic},
AxesLabel->{"Q","f[Q]"}] Like this?

qv = {4, 7, 3, 2, 6};

ListLinePlot[qv^1.85*2,
Ticks -> {Transpose[{Range@Length@qv, qv}], Automatic}] • Not sure I get it. This seems to be based on a matrix (qv) but in my case I only need to apply the q^(1/1.85) to the axis. Do I really need to generate a matrix? – MJLM Jul 6 '17 at 16:49