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Lovely95

  • 3 years ago

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

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  1. princeofwetlot
    • 3 years ago
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    factor out 3 3(ln 3 + ln c)

  2. princeofwetlot
    • 3 years ago
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    can you do the rest?

  3. shivam_bhalla
    • 3 years ago
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    Use the following properrties: \[\large a \ln (b) = \ln (b^a)\] \[\ln a + \ln b = \ln (ab)\]

  4. shivam_bhalla
    • 3 years ago
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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

  5. Lovely95
    • 3 years ago
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    soo...\[\ln9c^3\]

  6. princeofwetlot
    • 3 years ago
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    ^that's right

  7. shivam_bhalla
    • 3 years ago
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    Wrong. 3^3 = 27

  8. princeofwetlot
    • 3 years ago
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    you might wanna do a parenthesis though \[\large \ln (27c^3)\] and should be 27 lol

  9. Lovely95
    • 3 years ago
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    :o ohh i see, hah oops thanksssss

  10. shivam_bhalla
    • 3 years ago
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    np :)

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