evaluate ln(c^(-4)) ln^4(a/b^(-4)) for a = 2, b = 3, c = 5

[qbkr21]

Suppose a = 2, b = 3, and c = 5. Then evaluate the following:

. . .(ln c^-4)(ln ((a)/(b^-4))^4

Thanks I keep getting -1120 and 800, but both of these are the wrong answer...

 

[skeeter]

(ln c^-4)(ln ((a)/(b^-4))^4

one factor at a time ...

ln(c^-4) = -4ln(c)

ln(a/b^-4)⁴ = 4ln(ab⁴)

multiply the two ...

-16ln(c)*ln(ab⁴)

-16ln(5)*ln(2*3⁴)

-16ln(5)*ln(162) = approx -131