wheatleybrayden911 wheatleybrayden911
  • 22-05-2020
  • Mathematics
contestada

Simplify the following expression.
log(9x^5)+ 5 log(1/x)
A. log 45x4
B. log 94
C. log 45
D. log 9

Respuesta :

RaneKillingsworth
RaneKillingsworth RaneKillingsworth
  • 22-05-2020

Answer:

D. log(9)

Step-by-step explanation:

[tex]log(9x^{5})+5log(\frac{1}{x})[/tex]

Remember: [tex]A log (x) = log(x^{A})[/tex]

[tex]log(9x^{5})+log((\frac{1}{x})^{5})[/tex]

Remember: [tex]log_{a} (x)+log_{a}(y)=log_{a}(xy)[/tex]

[tex]log(9(\frac{1}{x})^{5}x^{5})[/tex]

Simplify...

[tex]log(9)[/tex]

Hope this helps! If you need steps for simplifying, just ask! :]

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