Q:

Use the laws of logarithms and the values given below to evaluate the logarithmic expression (picture provided)

Accepted Solution

A:
Answer: option b.Step-by-step explanation: To solve the given exercise, you must keep on mind the following law of logaritms: [tex]m*log(a)=log(a)^m[/tex] Descompose 8 into its prime factors: [tex]8=2*2*2=2^3[/tex] Therefore,  you can rewrite the expression given, as following: [tex]log8=log2^3=3log2[/tex] You know that [tex]log2=0.3010[/tex] Then, when you substitute, you obtain: [tex]3*0.3010[/tex]≈0.9030