3 ms·
observe that log10(125) = log10(100) + log10(1.25) log10(100) = 2 log10(1.25) = log(1 + 0.25) / log(10) ~ 0.25 / log(10) < 0.25 / 2 = 0.125 Thus log10(125) ~
by mjfl 7y ago
observe that log10(125) = log10(100) + log10(1.25)
log10(100) = 2
log10(1.25) = log(1 + 0.25) / log(10) ~ 0.25 / log(10) < 0.25 / 2 = 0.125
Thus log10(125) ~ 2.12 but probably a little less.
- naniwaduni 7y agoThe extra contortions are to get a bound tight enough to admit only one integer.