Question

me ajudem com qualquer uma, pra hoje!!!!! pf
LOGARITIMO, CALCULE

A) LOG 5 125=?

B) LOG 1/2 32= ?

C) LOG 0.01 =?

D) LOG 2 0,5=?

E) LOG 2 \sqrt{8} = ?

F) LOG 4 \sqrt{32} =?

G) LOG 1/4 16 =?

Answer 1

A) LOG 5 125

5ⁿ = 125

5ⁿ = 5³ ====> n=3

B) LOG 1/2 32= ?

(1/2)ⁿ = 32

(1/2)ⁿ = (1/2)^-5 ===> n= -5

C) LOG 0.01 =?

10ⁿ = 0,01

10ⁿ = 10-² ==> n=-2

D) LOG 2 0,5=?

2ⁿ = 0,5

2ⁿ = 1/2

2ⁿ = 2-¹ ===> n= -1

E) LOG 2 \sqrt{8} = ?

2ⁿ = √8

2ⁿ = √2³

2ⁿ = 2³/² ===> n = 3/2

F) LOG 4 \sqrt{32} =?

4ⁿ = √32

4ⁿ = √2^5

4ⁿ = 2^5/2 ===> n = 5/2

G) LOG 1/4 16 =?

(1/4)ⁿ = 16

(1/4)ⁿ = (4/1)²

(1/4)ⁿ = (1/4)-² ===> n = -2