You can write problem as
log25/log8
for Numerator part i.e. log25
log(100/4) = log100 (-) log4
log100 (-) log4 = 2 - 2Xlog2 => 2 - 2X0.3010 = 1.398
for Denominator part i.e. log 8
3 X log 2 => 3 X 0.3010 = 0.903
hence, log25/log8 = 1.398 / 0.903 = 1.548