evaluate, using logarithm table o.296× 0.0082?

Answer 1

Log tables?
Scientific calculators have now existed for over 30 years.
Did a quick incomplete survey of the most common math books published in my Ontario in the last 25 years, none of them contain log tables.
The only tables still published are the "normal distribution" tables used in statistics, and some tables in actuarial math.
How old is that textbook that you are using?

Using my calculator:
let x = 0.296× 0.0082
logx = log 0.296 + log 0.0082
= -0.5287.. - 2.086186...
= -2.614894... , press 2ndF log
x = .0024272

I recall teaching this back in the 1960's using mantissas and characteristics
log 0.296 = log 2.96x 10^-1
= -1 + log 2.96 = -1 + 0.47129..
log .0082 = log 8.2 x 10^-3
= -3 + .913814

log log 0.296 + log 0.0082
= -1 + 0.47129.. + (-3 + .913814)
= -4 + 1.385104
= -3 + .385104 <--- this was always the tricky part, since we needed a positive mantissa
the anti-log of .385104 is 2.42719
and the -3 told us to move the decimal 3 places to the right, so ....
Phewww! , .... the answer is 0.0024719

Answer 2

I finally threw my log table book away about a year ago. I used it extensively in the late 40s until I was introduced to a slide rule that would do 5 places. Hand calculators have been a blessing. .

Answer 3

0.0132

Answer 4

0.0132