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Himpunan penyelesaian dari pertidaksamaan 5 lo g ( x − 3 ) + 5 lo g ( x + 1 ) ≤ 1 adalah...

Himpunan penyelesaian dari pertidaksamaan  adalah...

  1. open curly brackets x left enclose negative 2 less or equal than x less or equal than 4 comma x element of R end enclose close curly brackets

  2. open curly brackets x left enclose 3 less than x less or equal than 4 comma x element of R end enclose close curly brackets

  3. open curly brackets x left enclose negative 1 less or equal than x less or equal than 4 comma x element of R end enclose close curly brackets

  4. open curly brackets x left enclose x less or equal than negative 2 space a t a u space x greater or equal than 4 comma x element of R end enclose close curly brackets

  5. open curly brackets x left enclose x less or equal than negative 3 space a t a u space x greater or equal than 4 comma x element of R end enclose close curly brackets

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F. Kurnia

Master Teacher

Mahasiswa/Alumni Universitas Jember

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Pembahasan

l presuperscript a o g invisible function application b plus to the power of a l o g invisible function application c equals to the power of a l o g invisible function application left parenthesis b c right parenthesis l presuperscript 5 o g invisible function application left parenthesis x minus 3 right parenthesis plus to the power of 5 l o g invisible function application left parenthesis x plus 1 right parenthesis less or equal than 1 left right arrow to the power of 5 l o g invisible function application left square bracket left parenthesis x minus 3 right parenthesis left parenthesis x plus 1 right parenthesis right square bracket less or equal than 1 left right arrow to the power of 5 l o g invisible function application left parenthesis x squared minus 2 x minus 3 right parenthesis less or equal than to the power of 5 l o g invisible function application 5 left right arrow x squared minus 2 x minus 3 less or equal than 5 left right arrow x squared minus 2 x minus 3 minus 5 less or equal than 0 left right arrow x squared minus 2 x minus 8 less or equal than 0 left right arrow left parenthesis x minus 4 right parenthesis left parenthesis x plus 2 right parenthesis less or equal than 0 x equals 4 space a t a u space x equals negative 2 D e n g a n space m e n g g u n a k a n space g a r i s space b i l a n g a n space d i d a p a t space d a e r a h space h a s i l space a d a l a h space minus 2 less or equal than x less or equal than 4 S y a r a t space n u m e r u s space log a r i t m a semicolon x minus 3 greater than 0 space d a n space x minus 1 greater than 0 x greater than 3 space a t a u space x greater than 1 I r i s k a n space d e n g a n space h a s i l space m a k a space d a e r a h space y a n g space d i p e r o l e h space a d a l a h space open curly brackets x │ 3 less than x less or equal than 4 comma x element of R close curly brackets

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