Studying logarithmic taper in potentiometers, I believe what you truly need is a potentiometer rather than a resistance change in a logarithmic scale.
My search indicates that analog Log POTs are generally constructed with an additional resistor in parallel to a linear potentiometer to approximate a logarithmic output (pseudo log). Here is a reference for further information.
The Secret Life of Pots
And true logarithmic potentiometers are implemented in digital control, for example, the MAX5456/MAX5457 Audio Taper Potentiometers.
Here an example of a fake log and a true log POT (0-20dB attenuation in linear to knob position).
example.Pot-fakeLog-VCTRL.qsch (6.4 KB)
I upload various POT into my Github library
Qspice/Symbols-KSKelvin/devices/RLC branches · KSKelvin-Github/Qspice
