Question

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

Answer 1

Explanation:

`4 {}^(2x + 3) = 1`

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

`a {}^(0) = 1`

so

`4 {}^(0) = 1`

,So we finally have

`4 {}^(2x + 3) = 4^(0)`

Set the exponents equal to each other

`2x + 3 = 0`

`2x = - 3`

`x = - (3)/(2)`