Mathematics: If log50=1.699 then what is log(100)50? with the 100 being the subscript of log

If log50=1.699 then what is log(100)50? with the - id5016991005011433416, hananbarakat

Ответ:

khamyah

15.03.2022

$\bf \textit{Logarithm Change of Base Rule}\\\\
log_a b\implies \cfrac{log_c b}{log_c a}
\\\\\\
\textit{Logarithm Cancellation Rules}\\\\
\boxed{log_a a^x = x}\qquad \qquad a^{log_a x}=x\\\\
-------------------------------\\\\
log_{100}(50)\implies \cfrac{log_{10}(50)}{log_{10}(100)}\implies \cfrac{log_{10}(50)}{log_{10}(10^2)}\implies \cfrac{log(50)}{2}
\\\\\\
\cfrac{1.699}{2}\implies 0.8495$

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Ответ:

anniekwilbourne

13.01.2023

Mathematics

Yes, just post and I will take a look

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If log50=1.699 then what is log(100)50? with the 100 being the subscript of log

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