Given that log 4 = 0.6021 and log 6 = 0. 7782, evaluate log 0.096

Answer 1

these are base ten logs
0.096 = 4 * 4 * 6 / 10^3
log 0.096 = log 4 + log 4 + log 6 - 3 log 10
but log10 is 1
so
2 log 4 + log 6 - 3