How to add diagonal line to log-log plot

I tried with xaxis = :exp10 but that did not work. Maybe it is not an option for xaxis. What you proposed did work. Thank you for your help.

Here is the solution for future reference:

using Plots
using CurveFit
x = 1:4
y = [44,29,6,1]
log_x = log10.(x)
log_y = log10.(y)
scatter(x, y, xaxis = :log10, yaxis = :log10)
fit = curve_fit(LinearFit, log_x, log_y)
plot!(x, 10 .^(fit.(log_x)))

Thank you both for your help. I’ll mark this as the solution, but attribute it to TimG.