Question

Preciso saber esses cálculos antes da 00:00 de hoje

Answer 1

a) 2ˣ = 8 → 2ˣ = 2³ → x = 3.

b) 2ˣ = 64 → 2ˣ = 2⁶ → x = 6.

c) 25ˣ = 125 → (5²)ˣ = 5³ → 5²ˣ = 5³ → 2x = 3 → x = 3/2.

d) 7ˣ = 343 → 7ˣ = 7³ → x = 3.

e) 2ˣ = 1/8 → 2ˣ = 1/2³ → 2ˣ = 2⁻³ → x = -3.

f) 64ˣ = 1/2 → (2⁶)ˣ = 2⁻¹ → 2⁶ˣ = 2⁻¹ → 6x = -1 → x = -1/6.

g) 9²ˣ⁻¹ = 1 → 9²ˣ⁻¹ = 9⁰ → 2x - 1 = 0 → 2x = 1 → x = 1/2.

h) 4ˣ = 1/8 → (2²)ˣ = 1/2³ → 2²ˣ = 2⁻³ → 2x = -3 → x = -3/2.