nvonethree nvonethree
  • 22-05-2019
  • Mathematics
contestada

Express the given logarithm in terms of common logarithms. Then approximate its value to four decimal places.


log2 11

Respuesta :

jimrgrant1 jimrgrant1
  • 22-05-2019

Answer:

3.4594

Step-by-step explanation:

To change the base of a logarithm

• [tex]log_{b}[/tex] x = [tex]\frac{log_{c}x }{log_{c}b }[/tex]

where c represents the new base

Changing the base from 2 to 10

[tex]log_{2}[/tex] 11 = [tex]\frac{log_{10}11 }{log_{10}2 }[/tex] ≈ 3.4594

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