Question

ln(x^3y^4z^5)

Answer 1

in fully expanded form

Answer 2

In x^3 +In y^4 + In z^5

Answer 3

3In x +4In y +5In z

Answer 4

3In x-4In y -5In z

Answer 5

60 In xyz

Answer 6

this deals with logarithms I guess

Answer 7

\[\ln(a)+\ln(b)=\ln(a \times b)\]
and obviously you can split it up
if you start with
\[\ln(a \times b)=\ln(a)+\ln(b)\]

Answer 8

so in your logarithm, you have the product of 3 terms,
therefore you know that you are adding 3 logarithms

Answer 9

so you can split them up

Answer 10

\[\ln(a \times b \times c)=\ln(a)+\ln(b)+\ln(c)\]
this is what you start with and what you will end up with

Answer 11

so the answer is a

Answer 12

so the answer is D

Answer 13

a is correct, but it is not fully expanded now we use another rule

Answer 14

or b

Answer 15

\[\ln(a)^{b}= bln(a)\]

Answer 16

so yes b is correct