Question

Por favor, URGENTE!
1) log 125(³√25

2) Calcule: log 1/64 8

Answer 1

1) Log ₁₂₅ ∛25

125ˣ = ∛25

125ˣ = ∛5²

(5³)ˣ = 5²/³

3x = 2/3

x = 2/3  /  3

x = 2/3 * 1/3

x = 2/9

2) Log ₁/₆₄   8

(1/64)ˣ = 8

(1/8²)ˣ = 8¹

(8⁻²)ˣ = 8¹

- 2x = 1 * (-1)

2x = - 1

x = - 1/2