A single transistor with a current gain of say 300 can be used to either impedance from input (10k?) to output (300) or amplify voltage but not both the product of change in V/R gain depends on the current gain of the transistor.

120dB gain means 6 decades or 1 million.

So you do the math, and look at existing solutions instead of trying to design a "square wheel".

A single transistor with a current gain of say 300 can be used to either impedance from input (10k?) to output (300) or amplify voltage but not both the product of change in V/R gain depends on the current gain of the transistor.

120dB gain means 6 decades or 1 million.

So you do the math, and look at existing solutions instead of trying to design a "square wheel".

If the transistor in your circuit had a current gain of 500 it would offer a 1/R gain of 100k/300=333 and a voltage gain in the range of 30 dB depending on device. close but no cigar