Question

Write the expression as a single natural logarithm.

3 ln x - 2 ln c

Answer 1

@wolf1728 @whpalmer4

Answer 2

one last question :-)

\[\log a- \log b = \log(\frac{a}{b})\]

Answer 3

you dnt have to help @whpalmer4 That was already pre typed

Answer 4

A. In x^3/c^2
B. ln(x^3 + c^2)


C. ln(x^3 - c^2)


D. lnx^3c^2

Answer 5

The first option is correct.

Answer 6

thanks

Answer 7

do you agree @whpalmer4 ?

Answer 8

well, \[\log x^3 = 3\log x\]and \[\log c^2 = 2\log c\]so \[3\log x - 2\log c = \log x^3-\log c^2\]and subtracting logs is like taking the log of a fraction, so \[\log x^3-\log c^2 = \log(\frac{x^3}{c^2})\]

So yes, I agree.

Answer 9

ok great ^_^