## jennyjewell25 3 years ago Write the expression as a single natural logarithm.

1. jennyjewell25

$3\ln x - 2\ln c$

2. jennyjewell25

the c is closer to the ln like lnc

3. jennyjewell25

@jim_thompson5910

4. jim_thompson5910

Hint: Use the following identities $\Large y*\ln(x) = \ln(x^y)$ $\Large \ln(x)-\ln(y) = \ln\left(\frac{x}{y}\right)$

5. jennyjewell25

huh?

6. jim_thompson5910

|dw:1352158470384:dw|

7. jim_thompson5910

becomes |dw:1352158488263:dw|

8. jennyjewell25

im confused whats with the y

9. jim_thompson5910

it's just a general way of stating the rule

10. jim_thompson5910

you can replace y with any number or variable you want

11. jennyjewell25

if this is as hard as the problem from earlier im just going to guess lol

12. jim_thompson5910

examples: |dw:1352158554240:dw|

13. jennyjewell25

$\ln x ^{3}c ^{2}$

14. Decart

$lnx ^{3}-lnc ^{2}$

15. jim_thompson5910

no

16. jim_thompson5910

you're close though

17. jennyjewell25

thats what i got but im probley wrong

18. jennyjewell25

x is over c isnt it

19. jim_thompson5910

it is

20. jim_thompson5910

it should be $\Large \ln\left(\frac{x^3}{c^2}\right)$

21. jennyjewell25

thought so