significant figs for log?

Question

okay, im taking the -log of 1.1 which gives me -.041. Now this site says to only count the sig digits after the decimal for logs and that 0's count as sig figs after the decimal. so does that mean the answer would be -.04 or is it really -.041

It says:">> Significant Figures for Logs

The number of significant figures in the regular number ([H3O+] in this case) becomes the number of decimal places in the log term (pH). For the log term, all digits to the right of the decimal are counted, regardless of whether or not the digit is zero. None of the digits to the left of the decimal count as significant figures."

Answer 1

log 1.1
Characteristic = 0
Mantissa = 41 ( as you said )
log 1.1 = 0.41
log 11 = 1.41
log 1100 = 3.41
As for Anti log,
Al 0.41 = 1.1 * 10^0
Al 2.41 = 1.1 * 10^2
Al 4.41 = 1.1 * 10^4
So on,

Answer 2

OK, 1.1 has 2 significant digits
-log(1.100000) = -0.041393
You want only 2 significant digits in the mantissa (decimal) since that is the precision of the original no., so
-log(1.1) = 0.04