Nilai dari 9log25 . 5log2 – 3log54

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Nilai dari 9log25 . 5log2 – 3log54

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Kelas 10 Matematika
Bab Logaritma

^ = pangkat

^9log 25 . ^5log 2 – ^3log 54
= ^9log 2 . ^5log 25 – ^3log 54
= ^(3²)log 2 . ^5log 5² – ^3log 54
= (1/2) . 2 . ^3log 2 – ^3log 54
= ^3log (2/54)
= ^3log (1/27)
= ^3log (3^-3)
= -3

3^2 log 5^2 . 5 log 2 – 3 log 54
= (2/2) 3 log 5 . 5 log 2 – (3 log 3^3.2)
= 3 log 5. 5 log 2 – ( 3. 3 log 3 + 3 log 2 )
= 3 log 2 – 3 – 3 log 2
= -3

#semogamembantu

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