Question

solve. write your answer as an integer or a fraction in simplest form.
$4^{2x + 3} = 1$
$x = \boxed{\frac{\square}{\square}}$

Explanation:

Step1: Recall exponential property

Any non - zero number to the power of 0 is 1, i.e., \(a^0 = 1\) (\(a
eq0\)). So we can set the exponent of 4 equal to 0.
\(2x + 3=0\)

Step2: Solve for x

Subtract 3 from both sides: \(2x= - 3\)
Divide both sides by 2: \(x =-\frac{3}{2}\)

Answer:

\(-\frac{3}{2}\)