An embodiment of a logarithmic circuit may include a logging transistor, a guard circuit arranged to force an input current into an input terminal of the logging transistor, and a positioning circuit arranged to maintain a voltage of the logging transistor. The guard and positioning circuits may include first and second feedback loops, respectively. Another embodiment of a logarithmic circuit may include a logging transistor arranged to generate a logarithmic output in response to an input current, and a feedback loop arranged to provide adaptive compensation to the logging transistor. The feedback loop may be arranged to provide compensation in response to the magnitude of the input current. Another embodiment of a logarithmic circuit may include first and second logging transistors having collectors arranged to receive input currents, and first and second feedback amplifier arranged to drive emitters of the logging transistors.