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Diketahui sebuah grafik sebagai berikut: Fungsi logaritma dari grafik tersebut adalah …

Diketahui sebuah grafik sebagai berikut:

Fungsi logaritma dari grafik tersebut adalah …

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Klaim

N. Rahayu

Master Teacher

Mahasiswa/Alumni Universitas Negeri Jakarta

Jawaban terverifikasi

Pembahasan

$begin mathsize 12px style P a d a space g r a f i k space t e r s e b u t space t e r l i h a t space h a n y a space m e l a l u i space d u a space t i t i k comma space m a k a space k i t a space a k a n space m e n g g u n a k a n space f u n g s i space f left parenthesis x right parenthesis space equals space log presuperscript a left parenthesis b x right parenthesis space L a n g k a h space p e r t a m a space k i t a space s u b s t i t u s i k a n space t i t i k space left parenthesis 2 comma space 0 right parenthesis space d a n space left parenthesis 3 comma space 1 right parenthesis space k e space f u n g s i space log a r i t m a n y a comma space m a k a space d i d a p a t colon space U n t u k space left parenthesis x comma space y right parenthesis space equals space left parenthesis 2 comma space 0 right parenthesis colon space space space space f left parenthesis x right parenthesis space equals space log presuperscript a left parenthesis b x right parenthesis 0 equals log presuperscript a left parenthesis 2 b right parenthesis 2 b equals a degree 2 b equals 1 b equals 1 half U n t u k space left parenthesis x comma space y right parenthesis space equals space left parenthesis 3 comma space 1 right parenthesis colon f left parenthesis x right parenthesis space equals space log presuperscript a left parenthesis fraction numerator ` 1 over denominator 2 end fraction x right parenthesis 1 equals space log presuperscript a left parenthesis fraction numerator ` 1 over denominator 2 end fraction left parenthesis 3 right parenthesis right parenthesis 1 equals log presuperscript a space open parentheses 3 over 2 close parentheses space space a equals open parentheses 3 over 2 close parentheses to the power of 1 a equals open parentheses 3 over 2 close parentheses space space space space J a d i space f u n g s i space log a r i t m a space d a r i space g r a f i k space t e r s e b u t space a d a l a h colon space space f left parenthesis x right parenthesis space equals space log presuperscript a left parenthesis b x right parenthesis f left parenthesis x right parenthesis space equals space log presuperscript 3 over 2 end presuperscript left parenthesis fraction numerator ` 1 over denominator 2 end fraction x right parenthesis end style$