Lovely95
Write the expression as a single natural logarithm.
3 ln 3 + 3 ln c
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princeofwetlot
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factor out 3
3(ln 3 + ln c)
princeofwetlot
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can you do the rest?
shivam_bhalla
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Use the following properrties:
\[\large a \ln (b) = \ln (b^a)\]
\[\ln a + \ln b = \ln (ab)\]
shivam_bhalla
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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
Lovely95
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soo...\[\ln9c^3\]
princeofwetlot
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^that's right
shivam_bhalla
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Wrong. 3^3 = 27
princeofwetlot
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you might wanna do a parenthesis though \[\large \ln (27c^3)\] and should be 27 lol
Lovely95
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:o ohh i see, hah oops
thanksssss
shivam_bhalla
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np :)