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1 year ago

باستعمال log4 2=0.5 فإن قيمة log4 32 هي

Mathematics

1 answer:

11Alexandr11 [23.1K]1 year ago

7 0

Answer:

$\mathbf{\log_432}=2.5$

Step-by-step explanation:

$\log_42=0.5$

حن بحاجة إلى إيجاد $\log_432$

دع $\log_432=x$

$\log_42\times 2\times 2\times 2\times 2=x$

$\Rightarrow x=\log_42^5$

$\Rightarrow x=5\log_42$ $[\because \log_ab^x=x\log_ab]$

$\Rightarrow x=5\times0.5$

$\Rightarrow x=2.5$

$\mathbf{\therefore\log_432=2.5}$

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