In a=2, In b=3, and In c=5, evaluate the following:?

Question

a) In (a^-4 / (b^-4 - c^1)) = _______ 

b) In (sqrt(b^-2)(c^1)(a^2)) = _______ 

c) (In(a^4*b^4)) / (In(b*c)^-2) = _______ 

d) (In c^2) (In (a/b^3))^4 = _______ 

HELP ME PLEASE! It's part of a Webwork Quiz due today.

Answer 1

Properties of Natural Logarithms : 

(1) Product Property : .

(2) Quotient Property : .

(3) Power Property : .

 

ln a = 2, ln b = 3 and ln c = 5.

(a)

 

(b)

 

(b)

 

(c)

 

(d)

.