Question

Resolver as equações exponencial
.
A) 3 = 1/729

C) (9/16)=(4/3)

D)(2/3)=1
F) 5 2x2=5
H)9*=(1/9)
OLHEM NA FOTO!!!! A, C, D, F, H

Answer 1

a) 3^x = 1/729

3^x = 1/3^6

3^x = 3^-6

x = -6

c) (9/16)^(2x - 1) = (4/3)^(-x + 1)

(9/16)^(2x - 1) = (3/4)^(x - 1)

(3²/4²)^(2x - 1) = (3/4)^(x - 1)

(3/4)^(4x - 2) = (3/4)^(x - 1)

4x - 2 = x - 1

4x - x = -1 + 2

3x = 1

x = 1/3

d) (2/3)^(3x +1) = 1

(2/3)^3x + 1) = (2/3)^0

3x + 1 = 0

3x = -1

x = -1/3

f) 5^(3 x - 2) = 5

3x - 2 = 1

3x = 1 + 2

3x = 3

x = 3/3

x = 1

h) 9^(2x + 1) = (1/9)^x

(9)^(2x + 1) =9^-x

2x + 1 = -x

2x + x = -1

3x = -1/3

Espero ter ajudado.