Question

calcule as equações

a)2×=1024

b)3×=81

c)4×=64

d)5×=125

e)6×=216

f)15×=225

g)20×=400

pfvr me ajudem!!

Answer 1

Equação Exponencial:

1024 : 2
512 : 2 < br/> 256 : 2
128:2
64: 2
32: 2
16: 2
8 : 2
4 : 2
2:2 < br/> 1 = 2.2.2.2.2.2.2.2.2.2 = 2^10
a)
2×=1024
2^x = 2^10
x = 10
---------------------
81:3
27:3
9:3
3:3
1 = 3.3.3.3

b)3×=81
3^x = 3^4
x = 4
------------------
64: 2
32: 2
16:2
8:2
4: 2
2:2
1 = 2.2 . 2.2 . 2.2 = 4.4.4

c)4×=64
4^x = 4^3
x = 3

d)5×=125
5^x = 5^3
x = 3

125:5
25:5
5:5
1 = 5.5.5
---------------

e)6×=216
6^x = 6^3
x = 3

216:2
108:2
54:2
27:3
9:3
3:3
1 = 2.2.2 . 3.3.3 = 2.3 . 2.3 . 2.3 = 6.6.6 = 6^3

f)15×=225
15^x = 15^2
x = 2

225: 3
75: 3
25:5
5:5
1 = 3.3 . 5.5 = 3.5 . 3.5 = 15.15 = 15^2

g)20×=400
20^x = 20^2
x = 2

400:2
200:2
100:2
50:2
25:5
5:5
1 = 2.2.2.2.5.5 = 2.2.5 . 2.2.5 = 20.20 = 20^2