Pertanyaan

Nilai x yang memenuhi 3 8 2 x 1 > 2 6 x − 3 3 2 x adalah...

Nilai x yang memenuhi $3 \frac{1}{8 ^{2 x}} > \frac{3 2 ^{x}}{2 ^{6 x - 3}}$ adalah...

M. Nasrullah

Master Teacher

Mahasiswa/Alumni Universitas Negeri Makassar

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah C

Pembahasan

Ingat kembali: Sehingga diperoleh perhitungan: Dengan demikian, Nilai x yang memenuhi adalah Jadi, jawaban yang tepat adalah C

Ingat kembali:

a to the power of n equals stack stack a cross times a cross times a cross times... cross times a with underbrace below with a space s e b a n y a k space n below comma space a not equal to 0

open parentheses a to the power of m close parentheses to the power of n equals a to the power of m times n end exponent comma space a not equal to 0

1 over a to the power of n equals a to the power of negative n end exponent comma space a not equal to 0

a to the power of f open parentheses x close parentheses end exponent greater or equal than a to the power of g open parentheses x close parentheses end exponent rightwards arrow f open parentheses x close parentheses greater or equal than g open parentheses x close parentheses comma space a greater than 1

$a-th root of b to the power of f open parentheses x close parentheses end exponent end root equals b to the power of fraction numerator f open parentheses x close parentheses over denominator 2 end fraction end exponent comma space b greater than 0$

Sehingga diperoleh perhitungan:

$table attributes columnalign right center left columnspacing 0px end attributes row cell cube root of 1 over 8 to the power of 2 x end exponent end root end cell greater than cell 32 to the power of x over 2 to the power of 6 x minus 3 end exponent end cell row cell cube root of 1 over open parentheses 2 cubed close parentheses to the power of 2 x end exponent end root end cell greater than cell open parentheses 2 to the power of 5 close parentheses to the power of x over 2 to the power of 6 x minus 3 end exponent end cell row cell cube root of 1 over 2 to the power of 6 x end exponent end root end cell greater than cell 2 to the power of 5 x end exponent over 2 to the power of 6 x minus 3 end exponent end cell row cell cube root of 2 to the power of negative 6 x end exponent end root end cell greater than cell 2 to the power of 5 x minus open parentheses 6 x minus 3 close parentheses end exponent end cell row cell 2 to the power of fraction numerator negative 6 x over denominator 3 end fraction end exponent end cell greater than cell 2 to the power of 5 x minus 6 x plus 3 end exponent end cell row cell 2 to the power of negative 2 x end exponent end cell greater than cell 2 to the power of negative x plus 3 end exponent end cell row cell negative 2 x end cell greater than cell negative x plus 3 end cell row cell negative 2 x plus x end cell greater than 3 row cell negative x end cell greater than cell 3 space open parentheses d i k a l i space minus 1 close parentheses end cell row x less than cell negative 3 end cell end table$

Dengan demikian, Nilai x yang memenuhi adalah x less than negative 3

Jadi, jawaban yang tepat adalah C