Tolong bantu jawab yg bisa:((

Tolong bantu jawab yg bisa:((

Penjelasan dengan langkah-langkah:

^ artinya pangkat

2ˣ⁺ʸ = 12

2ˣ 2ʸ = 12

2ˣ = 12/2ʸ

2ˣ⁺ᶻ = 36

2ˣ 2ᶻ = 36

2ˣ = 36/2ᶻ

2ˣ = 2ˣ

12/2ʸ = 36/2ᶻ

2ᶻ/2ʸ = 36/12

2ᶻ = 2ʸ . 3

2ʸ⁺ᶻ = 27

2ʸ . 2ᶻ = 27

2ʸ . 2ʸ . 3 = 27

2²ʸ = 27 : 3

2²ʸ = 9

2ʸ = √9

2ʸ = 3

2ˣ = 12/2ʸ

2ˣ = 12/3

2ˣ = 4

2ˣ = 2²

x = 2

Detail Jawaban

Kelas 10

Mapel 2 – Matematika

Bab 1.1 – Bentuk Akar, Eksponen dan Logaritma

Kode Kategorisasi : 10.2.1.1

Penjelasan dengan langkah-langkah:

$2 {}^{x + y} = 12 \ 2 {}^{x} .2 {}^{y} = 12 \ 2 {}^{y} = frac{12}{2 {}^{x} } \ \ 2 {}^{x + z} = 36 \ 2 {}^{x} . {2}^{z} = 36 \ {2}^{z} = frac{36}{ {2}^{x} } \ \ 2 {}^{y + z} = 27 \ {2}^{y} . {2}^{z} = 27 \ {2}^{z} = frac{27}{2 {}^{y} }$

$2 {}^{z} = frac{36}{2 {}^{x} } \ frac{27}{2 {}^{y} } = frac{36}{2 {}^{x} } \ {2}^{x} (27) = {2}^{y} (36) \ {2}^{x} (27) = frac{12}{2 {}^{x} } (36) \ {2}^{2x} (27) = 432 \ {2}^{2x} = 16 \ ( {2}^{x} ) {}^{2} = 16 \ 2 {}^{x} = 4 \ {2}^{x} = {2}^{2} \ x = 2$

Jawaban D