## Lovely95 3 years ago Write the expression as a single natural logarithm. 3 ln 3 + 3 ln c

1. princeofwetlot

factor out 3 3(ln 3 + ln c)

2. princeofwetlot

can you do the rest?

3. shivam_bhalla

Use the following properrties: $\large a \ln (b) = \ln (b^a)$ $\ln a + \ln b = \ln (ab)$

4. shivam_bhalla

You can write $3 \ln(3) = \ln(3^3)$ $3 \ln(c) = \ln(c^3)$ So you get $\ln(3^3)+\ln(c^3)$ Now use the second property which I gave in my previous comment

5. Lovely95

soo...$\ln9c^3$

6. princeofwetlot

^that's right

7. shivam_bhalla

Wrong. 3^3 = 27

8. princeofwetlot

you might wanna do a parenthesis though $\large \ln (27c^3)$ and should be 27 lol

9. Lovely95

:o ohh i see, hah oops thanksssss

10. shivam_bhalla

np :)