x and y log scales
julia
using CairoMakie, Random
Random.seed!(123)
x = 0.001:0.05:10
y = x .^ 2 .+ abs.(2 * randn(length(x)))
lines(x, y, color=:navy, figure=(size=(600, 400),),
axis=(xscale=log10, yscale=log10, xlabel="x", ylabel="y",
xgridstyle=:dash, ygridstyle=:dash, xminorticksvisible=true,
xminorticks=IntervalsBetween(9), yminorticksvisible=true,
yminorticks=IntervalsBetween(9)))