A mass M is suspended from a spring and oscillates with a period of .940s. Each complete oscillation results in an amplitude reduction of a factor of .96 due to a small velocity dependent of frictional effect. Calculate the time it takes for the total energy of the oscillator to decrease to .50 of its initial value.
The Attempt at a Solution
I am unsure how to approach this. I did
log .50 = t log(.96)^2
but that was incorrect. Can someone please tell me what I am doing wrong?