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This expression has no analytical solution, therefore you need to solve it numerically. For that, you can use find_root:

sol = find_root(0.08*x-0.0064 == log(x), 0,2); sol


which will give you,

1.0835990137881888


This expression has no analytical solution, therefore you need to solve it numerically. For that, you can use find_root: in a given range $0\lt x \lt 2$:

sol = find_root(0.08*x-0.0064 == log(x), 0,2); sol


which will give you,

1.0835990137881888