Find the common logarithm of the number. Round answer to four decimal places.
-log 0.00281
A)-2.5361
B)-2.5670
C)-2.5513
D)-5.8746

Question

Quizplus · Accepted Answer

We can use the property that $log_{10}x = \frac{\ln{x}}{\ln{10}}$ to find the common logarithm of 0.00281:
$log(0.00281) = \frac{\ln(0.00281)}{\ln(10)} \approx -2.5513$
Thus, the best choice is (C) with the rounded answer of -2.5513 to four decimal places. The common logarithm of 0.00281 is -2.5513. This can be found by using the definition of a logarithm: log(x) = y if and only if 10^y = x. In this case, we want to find y such that 10^y = 0.00281. Taking the logarithm of both sides with base 10, we get y = log(0.00281) = -2.5513. Rounded to four decimal places, this is -2.5513. Therefore, the answer is C.

Find the Common Logarithm of the Number