Answer: C. 4
Step-by-step explanation:
We will solve the given equation for b. When an exponential equation has the same base on each side, the exponents must be equal. This allows us to solve 2b-3=5.
Given:
[tex]2^{2b-3}=32[/tex]
Rewrite 32 with a base of 2:
[tex]2^{2b-3}=2^5[/tex]
Create an equation based on the exponents:
2b - 3 = 5
Add 3 to both sides of the equation:
2b = 8
Divide both sides of the equation by 2:
b = 4
Our answer is C. 4.
