I worked in another state for a well known and generally hated company based in SF who wanted me to transfer there, offering a 20k cost of living adjustment. But the actual standard of living increase that would be required amounted to a raise of at least 50%. The response was that a lot of people want to live in SF and would take the hit. No thanks.
Taxes and rent costs blow away these piddly adjustments. Moving into SF from elsewhere requires _massive_ income adjustments.
After you take out the difference in house prices and gas prices, the rest is minimal.
I'd say an apartment here would cost $2000/mo more than Nashville. Gas is say 50% more expensive; let's say that's another $4K/year. That adds up to an additional $28K/year after tax; or, roughly $40K/year before tax.