Question

Write the expression as a single natural logarithm.
3 ln 3 + 3 ln c

Answer 1

factor out 3

3(ln 3 + ln c)

Answer 2

can you do the rest?

Answer 3

Use the following properrties:

\[\large a \ln (b) = \ln (b^a)\]
\[\ln a + \ln b = \ln (ab)\]

Answer 4

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

Answer 5

soo...\[\ln9c^3\]

Answer 6

^that's right

Answer 7

Wrong. 3^3 = 27

Answer 8

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

Answer 9

:o ohh i see, hah oops
thanksssss

Answer 10

np :)