Penyelesaian persamaan eksponensial 2^x²- 4x – 5 = 8^¹-²x adalah…​

Jawab:

Penjelasan dengan langkah-langkah:

2ˣ² ⁻⁴ˣ⁻⁵ = 8¹⁻²ˣ

2ˣ² ⁻⁴ˣ⁻⁵ = 2³⁽¹⁻²ˣ⁾

x² -4x – 5 =  3(1- 2x)

x² – 4x – 5 = 3 – 6x

x² – 2x  - 8 = 0

(x – 4)(x + 2)=0

x=  4  atau x = -2

eksponen

2^(x² – 4x – 5) = 8^(1 – 2x)

2^(x² – 4x – 5) = 2^3(1 – 2x)

x² – 4x – 5 = 3 – 6x

x² – 4x + 6x – 5 – 3 = 0

x² + 2x – 8 = 0

(x + 4)(x – 2) = 0

x = -4 atau x = 2

x = {–4 , 2}