huynhphucconheo huynhphucconheo
  • 11-03-2022
  • Mathematics
contestada

Help me and show work because I don't understand this one

Help me and show work because I dont understand this one class=

Respuesta :

algebraic12 algebraic12
  • 11-03-2022

Step-by-step explanation:

[tex]4 {}^{2x + 3} = 1[/tex]

In order for exponents to be equal, they must have the same base and same power.

So what exponet can we raise 4 to in order to get 1.

Remeber that

[tex]a {}^{0} = 1[/tex]

so

[tex]4 {}^{0} = 1[/tex]

,So we finally have

[tex]4 {}^{2x + 3} = 4^{0} [/tex]

Set the exponents equal to each other

[tex]2x + 3 = 0[/tex]

[tex]2x = - 3[/tex]

[tex]x = - \frac{3}{2} [/tex]

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