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Expanding logarithmic Expression In Exercise,Use the properties of logarithms to rewrite the expression as a sum,difference,or multipal of logarithms.See example 3.
In[z(z - 1)2]

Respuesta :

Answer:

[tex]\ln{(z)}+2\ln{(z-1)}[/tex]

Step-by-step explanation:

[tex]\ln{(z(z-1)^2)}[/tex]

we know that

  • [tex]\ln{ab} = \ln{a}+\ln{b}[/tex]

[tex]\ln{(z)}+\ln{(z-1)^2}[/tex]

we also know that:

  • [tex]\ln{a^b} = b\ln{a}[/tex]

[tex]\ln{(z)}+2\ln{(z-1)}[/tex]

and this is our logarithmic expression rewritten!

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