Question

Kuiss

Berapakah hasil dari
[tex] log_{24}(2)\times log_{6!}(4!) \times10[/tex]
a. 3,9
b. 2,4

#Part 16​

Answer 1

[tex]\huge\tt\color{FF6666}{P}\color{FFB266}{E}\color{B2FF66}{R}\color{66FF66}{T}\color{66FFFF}{A}\color{66B2FF}{N}\color{6666FF}{Y}\color{B266FF}{A}\color{FF0000}{A}\color{FF0000}{N}\color{FF9999}{:}[/tex]

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Berapakah hasil dari

[tex] log_{24}(2)\times log_{6!}(4!) \times10[/tex]

a. 3,9

b. 2,4

[tex]\huge\tt\color{FF6666}{P}\color{FFB266}{E}\color{B2FF66}{N}\color{66FF66}{Y}\color{66FFFF}{E}\color{66B2FF}{L}\color{6666FF}{E}\color{B266FF}{S}\color{FF0000}{A}\color{FF0000}{I}\color{FF9999}{A}\color{FFCC93}{N}[/tex]

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[tex](\log_{24}(2) \times \log_{6!}(4!) \times 10).[/tex]

[tex](24^{-1} = \frac{1}{24} = 2).[/tex]

[tex](6! = 6 \times 5 \times 4 \times 3 \times 2 = 720)[/tex]

[tex](4! = 4 \times 3 \times 2 = 24). [/tex]

[tex]Jadi, (\log_{6!}(4!))[/tex]

[tex](720^{-1} = \frac{1}{720} = 24).[/tex]

[tex](\log_{24}(2) \times \log_{6!}(4!) \times 10 = -1 \times -1 \times 10 = 1 \times 10 = 10).[/tex]

[tex]Jadi, jawaban \: yang \: benar \: adalah \: 10.[/tex]

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[tex]\colorbox{black}{\red{\boxed{\colorbox{black}{\red{\bf{answered \: by \: BranlySuhuPTK}}}}}}[/tex]