If $\log _{10} 2, \log _{10}\left(2^x-1\right), \log _{10}\left(2^x+3\right)$ are three consecutive

Question

If $\log _{10} 2, \log _{10}\left(2^x-1\right), \log _{10}\left(2^x+3\right)$ are three consecutive terms of an A.P then

Professor PC Thomas Classes · Answer

See result $(4)(\mathrm{g})\left(2^{\mathrm{x}}-5\right)^2=2\left(2^x-\frac{7}{2}\right)$ Solve for $2^{\mathrm{x}}$