Pertanyaan

Penyelesaian pertidaksamaan 8 1 2 x − 1 1 ≤ 2 7 2 − x adalah ....

Penyelesaian pertidaksamaan $\frac{1}{8 1 ^{2 x - 1}} \leq 2 7^{2 - x}$ adalah ....

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Habis dalam

Klaim

W. Lestari

Master Teacher

Mahasiswa/Alumni Universitas Sriwijaya

Jawaban terverifikasi

Jawaban

jawaban yang benar adalah C.

Pembahasan

Ingat kembali bentuk persamaan eksponen berikut: Diketahuipertidaksamaan , maka: Jadi, jawaban yang benar adalah C.

Ingat kembali bentuk persamaan eksponen berikut:

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

Diketahui pertidaksamaan $fraction numerator 1 over denominator square root of 81 to the power of 2 x minus 1 end exponent end root end fraction less or equal than 27 to the power of 2 minus x end exponent$ , maka:

$table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator 1 over denominator square root of 81 to the power of 2 x minus 1 end exponent end root end fraction end cell less or equal than cell 27 to the power of 2 minus x end exponent end cell row cell fraction numerator 1 over denominator square root of open parentheses 3 to the power of 4 close parentheses to the power of 2 x minus 1 end exponent end root end fraction end cell less or equal than cell open parentheses 3 cubed close parentheses to the power of 2 minus x end exponent end cell row cell fraction numerator 1 over denominator square root of 3 to the power of 4 open parentheses 2 x minus 1 close parentheses end exponent end root end fraction end cell less or equal than cell 3 to the power of 6 minus 3 x end exponent end cell row cell 1 over open parentheses 3 to the power of 4 open parentheses 2 x minus 1 close parentheses end exponent close parentheses to the power of begin display style 1 half end style end exponent end cell less or equal than cell 3 to the power of 6 minus 3 x end exponent end cell row cell 1 over 3 to the power of begin display style fraction numerator 4 open parentheses 2 x minus 1 close parentheses over denominator 2 end fraction end style end exponent end cell less or equal than cell 3 to the power of 6 minus 3 x end exponent end cell row cell 1 over 3 to the power of 2 open parentheses 2 x minus 1 close parentheses end exponent end cell less or equal than cell 3 to the power of 6 minus 3 x end exponent end cell row cell 3 to the power of negative 2 open parentheses 2 x minus 1 close parentheses end exponent end cell less or equal than cell 3 to the power of 6 minus 3 x end exponent end cell row cell 3 to the power of negative 4 x plus 2 end exponent end cell less or equal than cell 3 to the power of 6 minus 3 x end exponent end cell row cell negative 4 x plus 2 end cell less or equal than cell 6 minus 3 x end cell row cell negative 4 x plus 3 x end cell less or equal than cell 6 minus 2 end cell row cell negative x end cell less or equal than 4 row x greater or equal than cell negative 4 end cell end table$

Jadi, jawaban yang benar adalah C.