Question

Resolva as equações exponenciais na variável x.
a) 4x=16
b) 100x+3=1/10
c) (0,25)x-1= (1/8)1-x
d)9x-2=√27​

Answer 1

4x=16

4^x = 4²

x = 2

100x+3=1/10

10^2(x+3) = 10^(-1)

2x+6= -1

2x = -7

x = -7/2

(0,25)x-1= (1/8)1-x

(2-²)(x-1 = (2-³)(1-x)

-2(x-1) = -3(1-x)

-2x+2 = -3+3x

-2x -3x = -3 -2

-5x = -5

x = -1

9x-2=√27

3^2(x-2) = √3³

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

2x-4 = 3/2

4x-8 = 3

4x = 11

x = 11/4