elaracrescentia elaracrescentia
  • 27-12-2021
  • Mathematics
contestada

Suppose that n is a positive number and Log10 n = q. Which expression always equals the value of Log10 n^2?

Respuesta :

msm555
msm555 msm555
  • 27-12-2021

2q

Answer:

solution given:

[tex]log_{10} n=q[/tex]

now

[tex]  Log_{10 }n^2=?[/tex]

by using property of logarithms

[tex]log_{a} n^p=p log_{a}n [/tex]

now

[tex]  Log_{10 }n^2=2 Log_{10 }n[/tex]

=2q

since [tex]log_{10} n=q[/tex]

Step-by-step explanation:

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