Question

Resolva as equações exponenciais.

A) 3^x = 81
B) 7^x = 1/49
C) (3/2)^x = 27/8
D) (√2)^x = √8
E) 5^x = 625
F) 10^x = 100000
G) 1/27^x = 1/9
H) 5^x = 1/125

Answer 1

Bom dia 

A) 3^x = 81 = 3^4 m , x = 4

B) 7^x = 1/49 = 7^-2 , x = -2

C) (3/2)^x = 27/8 = (3/2)^3, x = 3 

D) (√2)^x = √8 = (√2)^3 , x = 3

E) 5^x = 625 = 5^4. x = 4

F) 10^x = 100000 = 10^5 , x = 5 

G) 1/27^x = 1/9, (1/3)^3x = (1/3)^2 . 3x= 2, x = 2/3 

H) 5^x = 1/125 = 5^-3. x = -3