Question

write the expression as a single natural logarithm
2 in x-4in c

Answer 1

do you mean \[2\ln x-4\ln c\]?

Answer 2

\[n\log(x)=\log(x^n)\]

\[\log(y)+\log(z)=\log(yz)\]

Answer 3

get those coefficient into the indices,

then use the product property

Answer 4

the first one

Answer 5

ok so the answer would be... in (x^2-c^4)

Answer 6

*Whops its a difference of logs, use the division property

\[\log(x)-\log(y)=\log(x/y)\]

Answer 7

answer---> in x^2/c^4 or in C^4/x^2

Answer 8

idk which one lol

Answer 9

\[2\ln x-4\ln c=\ln x^2-\ln c^4=\ln (\cdots/\cdots)\]

Answer 10

in(x^2/C^4)

Answer 11

right,

in fact the division property is a special case of the product property

\[\log(x)-\log(y)=\log(x)+\log(y^{-1})=\log(x)+\log(1/y)=\log(x/y)\]

Answer 12

thank you it makes more sense