Final answer:
The solution to the equation log2(2x-1)=3 is x = 4.5.
Step-by-step explanation:
To solve the equation log2(2x-1)=3, we need to isolate the variable x. First, we can rewrite the equation in exponential form: 2^3 = 2x-1. Simplifying, we get 8 = 2x-1. Next, we can add 1 to both sides of the equation to isolate the term involving x: 8 + 1 = 2x. This gives us 9 = 2x. Finally, we divide both sides by 2 to solve for x: x = 4.5.