Pertanyaan

Nilai x yang memenuhi 8 3 − x = 4 × 2 1 − 2 x adalah ....

Nilai $x$ yang memenuhi $8^{3 - x} = 4 \times 2^{1 - 2 x}$ adalah ....

R. Hajrianti

Master Teacher

Mahasiswa/Alumni Universitas Pendidikan Indonesia

Jawaban terverifikasi

Jawaban

jawaban yang benar adalah B.

Pembahasan

Ingat kembali bentuk persamaan eksponen berikut: Maka: Jadi, jawaban yang benar adalah B.

Ingat kembali bentuk persamaan eksponen berikut:

straight a to the power of straight f open parentheses straight x close parentheses end exponent equals straight a to the power of straight m comma space straight a greater than 0 space rightwards arrow space straight f open parentheses straight x close parentheses equals straight m

Maka:

$table attributes columnalign right center left columnspacing 0px end attributes row cell square root of 8 to the power of 3 minus x end exponent end root end cell equals cell 4 cross times 2 to the power of 1 minus 2 x end exponent end cell row cell square root of open parentheses 2 cubed close parentheses to the power of 3 minus x end exponent end root end cell equals cell 2 squared cross times 2 to the power of 1 minus 2 x end exponent end cell row cell square root of 2 to the power of 9 minus 3 x end exponent end root end cell equals cell 2 to the power of 2 plus 1 minus 2 x end exponent end cell row cell open parentheses 2 to the power of 9 minus 3 x end exponent close parentheses to the power of 1 half end exponent end cell equals cell 2 to the power of 3 minus 2 x end exponent end cell row cell 2 to the power of 9 over 2 minus 3 over 2 x end exponent end cell equals cell 2 to the power of 3 minus 2 x end exponent end cell row cell 9 over 2 minus 3 over 2 x end cell equals cell 3 minus 2 x end cell row cell negative 3 over 2 x plus 2 x end cell equals cell 3 minus 9 over 2 end cell row cell negative 3 over 2 x plus 4 over 2 x end cell equals cell 6 over 2 minus 9 over 2 end cell row cell 1 half x end cell equals cell fraction numerator negative 3 over denominator 2 end fraction end cell row x equals cell fraction numerator begin display style fraction numerator negative 3 over denominator 2 end fraction end style over denominator begin display style 1 half end style end fraction end cell row x equals cell negative fraction numerator 3 over denominator up diagonal strike 2 end fraction times fraction numerator up diagonal strike 2 over denominator 1 end fraction end cell row x equals cell negative 3 end cell end table$

Jadi, jawaban yang benar adalah B.