Problem: Write as a single log?

1. Write as a single log

4lnx - 3ln(x+1) + 2ln(x+4)

If you could show me how to do it and not just give the answer that would be great, thanks!

Comments

  • lnx^4 -ln(x+1)^3 +ln(x+4)^2= ln x^4(x+4)^2/(x+1)^3

  • 4ln(x) - 3ln(x + 1) + 2ln(x + 4)

    = ln(x⁴) - ln[(x + 1)³] + ln[(x + 4)²]

    = ln[x⁴(x + 4)²/(x + 1)³]

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