Pertanyaan

Penyelesaian pertidaksamaan 2 lo g ( x − 1 ) . 4 + x lo g 4 < 2 − 4 + x lo g 4 adalah ....

Penyelesaian pertidaksamaan $^{2} lo g (x - 1) .^{4 + x} lo g 4 < 2 -^{4 + x} lo g 4$ adalah ....

2 < x < 6
1 < x < 2
1 < x < 6
x > 2
x > 6

F. Kurnia

Master Teacher

Mahasiswa/Alumni Universitas Jember

Jawaban terverifikasi

Pembahasan

$log presuperscript 2 open parentheses straight x minus 1 close parentheses. log presuperscript 4 plus straight x end presuperscript 4 less than 2 minus log presuperscript 4 plus straight x end presuperscript 4 log presuperscript 4 plus straight x end presuperscript 2 squared. log presuperscript 2 open parentheses straight x minus 1 close parentheses less than 2. log presuperscript 4 plus straight x end presuperscript left parenthesis 4 plus straight x right parenthesis minus log presuperscript 4 plus straight x end presuperscript 4 2. log presuperscript 4 plus straight x end presuperscript left parenthesis straight x minus 1 right parenthesis less than log presuperscript 4 plus straight x end presuperscript left parenthesis 4 plus straight x right parenthesis squared minus log presuperscript 4 plus straight x end presuperscript 4 log presuperscript 4 plus straight x end presuperscript left parenthesis straight x minus 1 right parenthesis squared less than log presuperscript 4 plus straight x end presuperscript fraction numerator left parenthesis 4 plus straight x right parenthesis squared over denominator 4 end fraction Syarat space numerus space logaritma colon space straight x minus 1 greater than 0 rightwards double arrow straight x greater than 1 horizontal ellipsis horizontal ellipsis horizontal ellipsis left parenthesis 1 right parenthesis Maka space didapat space juga space basis space 4 plus straight x greater than 1 space dan space 4 plus straight x greater than 0 space left parenthesis memenuhi space syarat space basis right parenthesis comma sehingga left parenthesis straight x minus 1 right parenthesis squared less than fraction numerator left parenthesis 4 plus straight x right parenthesis squared over denominator 4 end fraction 4 left parenthesis straight x squared minus 2 straight x plus 1 right parenthesis less than straight x squared plus 8 straight x plus 16 4 straight x squared minus 8 straight x plus 4 less than straight x squared plus 8 straight x plus 16 3 straight x squared minus 16 straight x minus 12 less than 0 left parenthesis 3 straight x plus 2 right parenthesis left parenthesis straight x minus 6 right parenthesis less than 0$

negative 2 over 3 less than straight x less than 6 horizontal ellipsis horizontal ellipsis horizontal ellipsis left parenthesis 2 right parenthesis Irisan space dari space left parenthesis 1 right parenthesis space dan space left parenthesis 2 right parenthesis space yaitu space 1 less than straight x less than 6.