RuclinaCait RuclinaCait
  • 11-11-2016
  • Mathematics
contestada

Write the expression as a single natural logarithm.

3 ln x - 2 ln c


A.

B. ln(x3 + c2)


C. ln(x3 - c2)


D. lnx3c2

Respuesta :

nobillionaireNobley
nobillionaireNobley nobillionaireNobley
  • 18-11-2016
3 In x - 2 In c = In x^3 - In c^2 = ln (x^3/c^2)
Answer Link
lisboa lisboa
  • 04-01-2019

Answer:

[tex]ln(\frac{x^3}{c^2})[/tex]

Step-by-step explanation:

3 ln x - 2 ln c

We apply log properties

m log(a) = log a^m

We apply this property for each term

3 ln x becomes ln x^3 and 2ln c becomes ln c^2

[tex]ln x^3 - ln c^2[/tex]

Now we apply one more property

ln (a) - ln(b) = ln(a/b)

[tex]ln x^3 - ln c^2[/tex] becomes

[tex]ln(\frac{x^3}{c^2})[/tex]


Answer Link

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