sparrow187
sparrow187 sparrow187
  • 03-07-2018
  • Mathematics
contestada

If 2^x=10, then 2^2x=

Respuesta :

calculista
calculista calculista
  • 04-07-2019

Answer:

[tex]2^{2x}=100[/tex]

Step-by-step explanation:

we have

[tex]2^{x}=10[/tex]

Remember that

[tex](a^{b})^{x} =a^{bx}[/tex]

therefore

In this problem

[tex]2^{2x}=(2^{x})^{2}[/tex]

substitute the value of [tex]2^{x}=10[/tex]

[tex]2^{2x}=(10)^{2}[/tex]

[tex]2^{2x}=100[/tex]

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