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]
