SOLUTION: Determine logarithm of 59,436.
My attempt:
log 594 = 7738 (table).
4.7738
10^4.7738 = 59401.
Where did I miscalculate? Non-homework.
Algebra.Com
Question 1147076: Determine logarithm of 59,436.
My attempt:
log 594 = 7738 (table).
4.7738
10^4.7738 = 59401.
Where did I miscalculate? Non-homework.
Found 2 solutions by josgarithmetic, greenestamps:
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
59,436
-
4+0.7738, If use only the closest value in the table and not try to interpolate to look for a better value. You could try linear interpolation to get a better value.
( table found was http://www.sosmath.com/tables/logtable/logtable.html )
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!
No miscalculation. If you use the table to find log(594) = 0.7738, then 10^4.7738 will be approximately 59400, which is what you found.
If you want a more accurate answer, you need to interpolate between the values given in the table.
Over very short intervals, the graph of a logarithm is nearly linear, so you can use linear interpolation.
log(594) = .7738
log(595) = .7745
The difference is .0007. Then a good approximation is
log(59436) = .7738 + .36(.0007) = .77405
Then using a calculator we find
10^4.77405 = 59436
to the nearest whole number -- which is what we want.
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