Question

3 ln x-5 ln c
( Single Natural Logarithm)

Answer 1

is that
\[\huge 3\ln(x)-5\ln(c)\]?

Answer 2

guess i am asking is it both a "c" and an "x" in there ?

Answer 3

a*ln(b) = ln(b^a)
and
ln(b) + ln(c) = ln(bc)

so

3ln(5) + ln(x) =
ln(5^3) + ln(x) =
ln(125x)

Answer 4

Thank you, @Here_to_Help15 !

Answer 5

yeah it is an odd question haha @satellite73

Answer 6

No problem :)

Answer 7

ln properties
quotient rule\[\large\rm ln y - ln x = \ln \frac{ x }{ y}\]
subtraction to division
product rule \[\large \rm ln x + \ln y = \ln ( x \times y )\]
addition ----> multiplication

power rule \[\large\rm ln x^y = y \ln x\]

you should apply quotient rule because there is negative sign

Answer 8

Bam @Nnesha you deserve a medal :)

Answer 9

i was thinking the quotient property but i wasnt too sure :) thanks @Nnesha

Answer 10

i think there is a mistake in the answer you were given

Answer 11

there is a negative sign
so u should be 100000% sure :-)

Answer 12

what is wrong? @satellite73

Answer 13

Me @satellite73 im anxious where did i make my mistake 0.0

Answer 14

???

Answer 15

\[3\ln(x)-5\ln(c)\\
\ \ln(x^3)-\ln(c^5)\\
\huge \ln(\frac{x^3}{c^5})\]

Answer 16

that is assuming it is the question that i wrote above, not something else

Answer 17

yeah you got it

Answer 18

that is why i wrote
\[\huge 3\ln(x)-5\ln(c)\]first to make sure it was right

Answer 19

yes :)