SOLUTION: HOW CAN I FIND LOGARITHM OF 0.003634 BY HAND?

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: HOW CAN I FIND LOGARITHM OF 0.003634 BY HAND?      Log On


   

Question 888415: HOW CAN I FIND LOGARITHM OF 0.003634 BY HAND?
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
Completely by hand, use a table of common logarithms, or natural logarithms if you prefer.

log%28%280.003634%29%29=log%28%283.634%2A10%5E-3%29%29
log%28%2810%5E-3%29%29%2Blog%28%283.634%29%29=-3%2Blog%28%283.634%29%29

Looking in the table of common logs for log((3.634)), find accuracy up to the hudredths place:
log%28%283.63%29%29=0.5599066
and
log%28%283.64%29%29=0.5611014

Use linear interpolation (which is much like using linear equation to find an intermediate value) to find a good estimation for 3.634.

Your result should be very very near or the same as highlight%28-3%2B0.560%29.


REFERENCE ONLINE TO : http://www.sosmath.com/tables/logtable/logtable.html