Question

01) Resolva as equações exponecias abaixo a)2x=1024 b)5x+3=125 c)1/4=8x-6 d)34x+1=27 e)(0,25)x=1/8 f)26x-8=128 g)5x-1=1000 i)76x+4=7 j)8x-1=16 k)(32)x-1=8 l)5x+3/2=25

Answer 1

a)2x = 1024
--> x = 1024/2
--> x = 512

b) 5x + 3 = 125
--> 5x = 125 - 3
--> 5x = 122
--> x = 122/5
--> x = 24,40

c) 1/4 = 8x - 6
--> 8x - 6 = 1/4
--> 8x = 1/4 + 6
--> 8x = 1/4 + 24/4
--> 8x = 25/4
--> x = 25/4/8
--> x = 25/4 ( 1/8 )
--> x = 25/32

d) 34x + 1 = 27
--> 34x = 27 - 1
--> 34x = 26
--> x = 26/34..(÷2)
--> x = 13/17

e) 0,25x = 1/8
--> x = 1/8/0,25
--> x = 1/8 (1/0,25)
--> x = 1/2

f) 26x - 8 = 128
--> 26x = 128 + 8
--> 26x = 136
--> x = 136/26...(÷2)
--> x = 68/13

g) 5x - 1 = 1.000
--> 5x = 1.000 + 1
--> 5x = 1.001
--> x = 1.001/5
--> x = 200,2

i) 76x + 4 = 7
--> 76x = 7 - 4
--> 76x = 3
--> x = 3/76

j) 8x - 1 = 16
--> 8x = 16 + 1
--> 8x = 17
--> x = 17/8

k) (32) x - 1 = 8
--> 32x - 32 = 8
--> 32x = 8 + 32
--> 32x = 40
--> x = 40/32...(÷8)
--> x = 5/4

l) 5x + 3/2 = 25
--> 5x = 25 - 3/2
--> 5x = 50/2 - 3/2
--> 5x = 47
--> x = 47/5