meznaaaaa14508 meznaaaaa14508
  • 01-11-2020
  • Mathematics
contestada

باستعمال log4 2=0.5 فإن قيمة log4 32 هي

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boffeemadrid
boffeemadrid boffeemadrid
  • 06-11-2020

Answer:

[tex]\mathbf{\log_432}=2.5[/tex]

Step-by-step explanation:

[tex]\log_42=0.5[/tex]

حن بحاجة إلى إيجاد[tex]\log_432[/tex]

دع[tex]\log_432=x[/tex]

[tex]\log_42\times 2\times 2\times 2\times 2=x[/tex]

[tex]\Rightarrow x=\log_42^5[/tex]

[tex]\Rightarrow x=5\log_42[/tex]   [tex][\because \log_ab^x=x\log_ab][/tex]

[tex]\Rightarrow x=5\times0.5[/tex]

[tex]\Rightarrow x=2.5[/tex]

[tex]\mathbf{\therefore\log_432=2.5}[/tex]

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