Question

For a real number \(x\) , if \(\frac{1}{2},\frac{log_3(2^x-9)}{log_34}\), and \(\frac{log_5\bigg(2^x+\frac{17}{2}\bigg)}{log_54}\) are in an arithmetic progression, then the common difference is

• A. \(log_4\bigg(\frac{23}{2}\bigg)\)
• B. \(log_4\bigg(\frac{3}{2}\bigg)\)
• C. \(log_47\)
• D. \(log_4\bigg(\frac{7}{2}\bigg)\)