Cassierose59 Cassierose59
  • 08-07-2021
  • Mathematics
contestada

Use the values in 9 = 2.2 and In 200 – 5.3 to find the approximate value of log, 200.


Respuesta :

Theekshana
Theekshana Theekshana
  • 08-07-2021

Answer:

2.409

Step-by-step explanation:

㏑ 9 = 2.2

ln 200 = 5.3

[tex]ln 9 = log_{e}9\\ln 200 = log_{e}200[/tex]

[tex]log_{9}200 = \frac{log_{e}200}{log_{e}9}[/tex]

           = [tex]\frac{ln 200}{ln 9}[/tex]

           = [tex]\frac{5.3}{2.2}[/tex]

           = 2.409

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