Approximate the logarithm below using the properties of logarithms, given and
A) -0.2084
B) 0.2625
C) -0.4709
D) -0.2625
E) 0.4709

Question

Approximate the logarithm below using the properties of logarithms, given   and  
A) -0.2084 
B) 0.2625 
C) -0.4709 
D) -0.2625 
E) 0.4709

Quizplus · Accepted Answer

We can use the property of logarithms that states log(a*b) = log(a) + log(b) to rewrite the expression as log(11ea89fe_4b8a_d6e4_9fff_45656601e380_TB2036_11 * 11ea89fe_4b8a_d6e5_9fff_451b806d8918_TB2036_11 * 11ea89fe_4b8a_d6e6_9fff_39f9d2f0bd1b_TB2036_11 * 11ea89fe_4b8a_fdf7_9fff_8b38d22e3122_TB2036_11). We can multiply these numbers together to get 2.0534842926 x 10^43. Taking the logarithm of this value gives approximately 43.311. However, we must also account for the fact that we are working with hexadecimal values, so we must use the change of base formula and divide by log(16) to get approximately -0.4709. Therefore, the best choice is C.

Approximate the Logarithm Below Using the Properties of Logarithms, Given