I agree with FvM, you would be doing almost the opposite of what you wanted.
Don't confuse logarithmic amplifiers with AGC. Log amps work on the wave shape, cycle by cycle whereas AGC works on the average envelope of the signal, in other words on its average strength. AGC is what you want but it is very difficult to derive a suitable voltage with regenerative detectors which by their very nature become oscillators in their own right to receive SSB and CW.
Brian.