santiago4441 santiago4441
  • 20-01-2018
  • Mathematics
contestada

Write the expression as a single natural logarithm. 3 ln 3 + 4 ln b

Respuesta :

ejhuff ejhuff
  • 26-01-2019

Answer:

[tex]\ln(3^3b^4)[/tex]


Step-by-step explanation:

Repeated addition of ln(x) is ln of repeated multiplication of x:

[tex]3\ln x = \ln x + \ln x + \ln x = \ln(x\times x\times x) = \ln(x^3)[/tex]


[tex]3\ln 3 + 4 \ln b = \ln 3^3 + \ln b^4 =\ln(3^3b^4)[/tex]


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