QuestionSolve the equation analytically. $$2^{2 x-5}=16$$
The solution set is $\square$ (Simplify your answer.)

Studdy Solution
Solve for $x$ by isolating it. First, add 5 to both sides:
$$2x - 5 = 4$$ $$2x = 4 + 5$$ $$2x = 9$$
Next, divide both sides by 2:
$$x = \frac{9}{2}$$
The solution set is:
$$\boxed{\frac{9}{2}}$$