Question

Calcule o valor de x.
a) 32× = 1024
b} x3=1/27
c) x = (2³)1/2
d) 5-×=1/25
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Answer 1

Resposta:

Explicação passo-a-passo:

32^x=1024

(2^5)^x=2^10  

2^5x=2^10 [ corta base 2]

5x=10

x=10/5

x=2

x^3=1/27

x^3=(1/3^3)

x=1/3  [corta índice 3 com índice 3]

x=(2^3)^1/2

x=2^3/2

x=√8

x=2√2

5^-x=1/25

5^-x= (1/5^2)

5^-x= 5^-2  [corta base 5]

-x=-2 (-1)

x=2