Exponential modulation of output voltage

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Joined Feb 11, 2017
I have a 12V DC circuit with input voltage from 2 volts to 5 volts. How can I make the output voltage grow exponentially between the minimum (2volts) and the maximum (5volts) with a coefficient of 1.25 (for example). The key here is that I want the output voltage to be 2 volts when the input is 2 volts, and the maximum of the output voltage should not exceed 5 volts, but anything inbetween should be modulated exponentially. I'm looking for the simplest sollution. Sorry for my amateur question, and thank you in advance!