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Penyelesaian pertidaksamaan 3 lo g x . 1 − 2 x lo g 9 > 2 − 1 − 2 x lo g 9 adalah ....

Penyelesaian pertidaksamaan  adalah ....

  1. begin mathsize 14px style 0 less than x less than 1 fifth end style

  2. begin mathsize 14px style 0 less than x less than 1 half end style

  3. begin mathsize 14px style 0 less than x less than 2 over 5 end style

  4. begin mathsize 14px style 1 fifth less than x less than 1 half end style

  5. begin mathsize 14px style 2 over 5 less than x less than 1 half end style

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S. Intan

Master Teacher

Mahasiswa/Alumni Institut Pertanian Bogor

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begin mathsize 14px style log presuperscript 3 space straight x. log presuperscript 1 minus 2 straight x end presuperscript invisible function application space 9 greater than 2 minus log presuperscript 1 minus 2 straight x end presuperscript invisible function application space 9  log presuperscript 3 space invisible function application straight x straight space. straight space log presuperscript 1 minus 2 straight x end presuperscript invisible function application space 3 squared greater than 2 straight space. straight space log presuperscript 1 minus 2 straight x end presuperscript invisible function application space left parenthesis 1 minus 2 straight x right parenthesis minus log presuperscript 1 minus 2 straight x end presuperscript space invisible function application 9  log presuperscript 1 minus 2 straight x end presuperscript space invisible function application 3 squared. straight space log presuperscript 3 space invisible function application straight x greater than 2 straight space. straight space log presuperscript 1 minus 2 straight x end presuperscript space invisible function application left parenthesis 1 minus 2 straight x right parenthesis minus log presuperscript 1 minus 2 straight x end presuperscript space invisible function application 9  left parenthesis 2 right parenthesis log presuperscript 1 minus 2 straight x end presuperscript space invisible function application 3. straight space log presuperscript 3 invisible function application space straight x greater than 2 straight space. straight space log presuperscript 1 minus 2 straight x end presuperscript space invisible function application left parenthesis 1 minus 2 straight x right parenthesis minus log presuperscript 1 minus 2 straight x end presuperscript space invisible function application 9  open parentheses 2 close parentheses log presuperscript 1 minus 2 straight x end presuperscript invisible function application space straight x greater than log presuperscript 1 minus 2 straight x end presuperscript invisible function application space open parentheses 1 minus 2 straight x close parentheses squared minus log presuperscript 1 minus 2 straight x end presuperscript invisible function application space 9  log presuperscript 1 minus 2 straight x end presuperscript invisible function application space straight x squared greater than log presuperscript 1 minus 2 straight x end presuperscript space invisible function application open parentheses 1 minus 2 straight x close parentheses squared over 9    straight x squared greater than open parentheses 1 minus 2 straight x close parentheses squared over 9  9 straight x squared greater than 4 straight x squared minus 4 straight x plus 1  5 straight x squared plus 4 straight x minus 1 greater than 0  open parentheses 5 straight x minus 1 close parentheses open parentheses straight x plus 1 close parentheses greater than 0  straight x less than negative 1 straight space atau straight space straight x greater than 1 fifth horizontal ellipsis horizontal ellipsis horizontal ellipsis open parentheses 1 close parentheses    Syarat space numerus space logaritma colon space straight x greater than 0 horizontal ellipsis horizontal ellipsis horizontal ellipsis left parenthesis 2 right parenthesis  Syarat space basis space logaritma colon space 1 minus 2 straight x greater than 0 rightwards double arrow straight x less than 1 half horizontal ellipsis horizontal ellipsis horizontal ellipsis open parentheses 3 close parentheses    Irisan space dari space left parenthesis 1 right parenthesis comma left parenthesis 2 right parenthesis comma space dan space left parenthesis 3 right parenthesis space yaitu space 1 fifth less than straight x less than 1 half end style

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Tentukan himpunan penyelesaian dari pertidaksamaan-pertidaksamaan berikut. a. 2 l o g x 2 − 3 ⋅ 2 l o g x + 2 > 0

46

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