Question

2^(x+5)+2^(5-x)=64

dua pangkat (x ditambah 5) ditambah dua pangkat (5 dikurang x) sama dengan 64

Answer 1

Verified answer

Misal :
2^x = a

2^(5 + x) + 2^(5 - x) = 64
2^5 . a + 2^5/a = 2^6
2^5 (a + 1/a) = 2^6
a + 1/a = 2^6/2^5
a + 1/a = 2
samakan penyebut, kali silang
a² + 1 = 2a
a² - 2a + 1 = 0
(a - 1)² = 0
a = 1
2^x = 1
2^x = 2^0
x = 0