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Nilai – nilai x yang memenuhi 2 l o gx − x 1 ​ l o g 2 1 ​ ≥ 0 adalah....

Nilai – nilai x yang memenuhi   adalah....

  1. 1 half less or equal than x less or equal than 1  

  2. 1 less or equal than x less or equal than 2  

  3. 1 less than x less or equal than 2  

  4. 1 half less or equal than x less or equal than 1 space a t a u space x greater than 2  

  5. 1 half less or equal than x less than 1 space a t a u space x greater or equal than 2  

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P. Anggrayni

Master Teacher

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Pembahasan

⇔ y 2 − 1 y ≥ 0 ⇔ y + 1 y − 1 y ≥ 0 MathType@MTEF@5@5@+= feaahqart1ev3aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVCI8FfYJH8YrFfeuY=Hhbbf9v8qqaqFr0xc9pk0xbb a9q8WqFfeaY=biLkVcLq=JHqpepeea0=as0Fb9pgeaYRXxe9vr0=vr 0=vqpWqaaeaabiGaciaacaqabeaadaqaaqaaaOqaaiabgsDiBpaala aabaGaamyEamaaCaaaleqabaGaaGOmaaaakiabgkHiTiaaigdaaeaa caWG5baaaiabgwMiZkaaicdacqGHuhY2daWcaaqaamaabmaabaGaam yEaiabgUcaRiaaigdaaiaawIcacaGLPaaadaqadaqaaiaadMhacqGH sislcaaIXaaacaGLOaGaayzkaaaabaGaamyEaaaacqGHLjYScaaIWa aaaa@4DA9@ "> .

straight l presuperscript 2 o g x minus straight l presuperscript x to the power of negative 1 end exponent end presuperscript o g 2 to the power of negative 1 end exponent greater or equal than 0 left right double arrow straight l presuperscript 2 o g x minus straight l presuperscript x o g 2 greater or equal than 0 left right double arrow straight l presuperscript 2 o g x minus fraction numerator 1 over denominator straight l presuperscript 2 o g x end fraction greater or equal than 0 Misalkan space straight l presuperscript 2 o g x equals y left right double arrow y minus 1 over y greater or equal than 0 space left parenthesis samakan space penyebut right parenthesis left right double arrow fraction numerator straight y squared minus 1 over denominator straight y end fraction greater or equal than 0 left right double arrow fraction numerator open parentheses straight y plus 1 close parentheses open parentheses straight y minus 1 close parentheses over denominator straight y end fraction greater or equal than 0  

negative 1 space less or equal than y less than 0 space a t a u space y greater or equal than 1 minus 1 less or equal than straight l presuperscript 2 o g x less than 0 left right double arrow 2 to the power of negative 1 end exponent less or equal than x less than 2 to the power of 0 left right double arrow 1 half less or equal than x less than 1 space space y greater or equal than 1 left right double arrow straight l presuperscript 2 o g x greater or equal than 1 left right double arrow x greater or equal than 2.

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