Question

Efetue:

a) log₂₀¹

b)log₅⁶²⁵

c)log/√6³⁶

d) log₁₁¹²¹

e)log 1/125²⁵

PRECISO URGENTE PARA HOJE ATE AS 19:00

Answer 1

Resposta:

Explicação passo-a-passo:

a) log₂₀ 1 = x => 20ˣ = 1 => 20ˣ = 20⁰ => x = 0

b) log₅ 625 = x => 5ˣ = 625 => 5ˣ = 5⁴ => x = 4

c) $log_{\sqrt{6}}36=x=>(6^{\frac{1}{2}})^{x}=36=>6^{\frac{x}{2}}=6^{2}=>\frac{x}{2}=2=>x=4$

d) log₁₁ 121 = x=> 11ˣ = 121 => 11ˣ = 11² => x = 2

e) log¹/₁₂₅ 25 = x => (1/125)ˣ = 5² => (125⁻¹)ˣ = 5² => [(5³)⁻¹]ˣ = 5² => (5⁻³)ˣ = 5² => 5⁻³ˣ = 5² => -3x = 2 => x = -2/3