Answer:
D. x=5
The answer is x=4.50 then it is rounded off to 5. So, the answer is 5.
Step-by-step explanation:
Find the domain of the inequality:![2x-1\geq 0](https://tex.z-dn.net/?f=2x-1%5Cgeq%200)
Rearrange terms to the left side of the equation:![2x\geq 1](https://tex.z-dn.net/?f=2x%5Cgeq%201)
Divide both sides of the inequality by the coefficient of the variable:
=> ![x\geq \frac{1}{2}](https://tex.z-dn.net/?f=x%5Cgeq%20%5Cfrac%7B1%7D%7B2%7D)
The domain of the inequality is:![x\geq \frac{1}{2}](https://tex.z-dn.net/?f=x%5Cgeq%20%5Cfrac%7B1%7D%7B2%7D)
Convert logarithm to exponential form:![2^{3}=2x-1](https://tex.z-dn.net/?f=2%5E%7B3%7D%3D2x-1)
Calculate the power:![8=2x-1](https://tex.z-dn.net/?f=8%3D2x-1)
Rearrange terms to the left side of the equation:![-2x= -8-1](https://tex.z-dn.net/?f=-2x%3D%20-8-1)
Calculate:![-2x=-9](https://tex.z-dn.net/?f=-2x%3D-9)
Divide both sides of the equation by the coefficient of the variable:![x=\frac{-9}{-2}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-9%7D%7B-2%7D)
=> ![x=\frac{9}{2}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B9%7D%7B2%7D)
=>![x=4.5\\](https://tex.z-dn.net/?f=x%3D4.5%5C%5C)
Round the number: ![x=4.50](https://tex.z-dn.net/?f=x%3D4.50)
Answer: ![x=4.50](https://tex.z-dn.net/?f=x%3D4.50)
=> ![x=5](https://tex.z-dn.net/?f=x%3D5)
Read to know more about log equation:
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