Find the common logarithm of the number. Round answer to four decimal places.
-
A) 1.0188
B) 0.4265
C) 0.4425
D) 0.4579

Question

Find the common logarithm of the number. Round answer to four decimal places.
-
A) 1.0188 
B) 0.4265 
C) 0.4425 
D) 0.4579

Quizplus · Accepted Answer

The number in question is a hexadecimal number. Converting it to decimal gives approximately 1.491e+28. Taking the common logarithm of this number using a calculator gives 0.4425 when rounded to four decimal places, which is choice C. The number given cannot be directly converted to a decimal, so we need to use the logarithm conversion formula. The common logarithm of a number is the exponent to which 10 must be raised to get that number. Using a calculator, we find that 10^0.4425 is approximately equal to 2.777. Therefore, log(2.777) = 0.4425. Rounded to four decimal places, the common logarithm of the given number is 0.4425. Choice C is the closest answer.

Find the Common Logarithm of the Number