Question

URGENTEEEE

Calcule as equações exponenciais abaixo:
a) 16× = 128
b) 27 = 9×
c) 2×+^1 = 1024
d) 5³×-^5 = 625
e) 81× = 243

Answer 1

Resposta:

a) 16×=128

decompondo

16=2.2.2.2=2^4

128=2.2.2.2.2.2.2=2^7

igualando as bases teremos;

2^4.x=2^7

4.x=7

x=7/4

b)27=9×

27= 3.3.3=3^3

9=3.3=3^2

3^3=3^2.x

3=2.x

x=3/2

c)2^x+1=1024

basta decompor 1024=2.2.2.2.2.2.2.2.2.2=2^10

2^x+1=2^10

x+1=10

x=10-1

x=9

d)5^2.x-5=625

625=5.5.5.5=5^4

5^2.x-5=5^4

2.x-5=4

2.x=4+5

x=9/2

e)81^x=243

81=3.3.3.3=3^4

243=3.3.3.3.3=3^5

3^4.x=3^5

4.x=5

x=5/4

Explicação passo-a-passo: