If \[{{\log }_{10}}2,\,{{\log }_{10}}({{2}^{x}}-1)\] and \[{{\log }_{10}}({{2}^{x}}+3)\] are three consecutive terms of an A.P, then the value of x is

If \[{{\log }_{10}}2,\,{{\log }_{10}}({{2}^{x}}-1)\] and \[{{\log }_{1

1.	If \[{{\log }_{10}}2,\,{{\log }_{10}}({{2}^{x}}-1)\] and \[{{\log }_{10}}({{2}^{x}}+3)\] are three consecutive terms of an A.P, then the value of x is
A.	1
B.	\[lo{{g}_{5}}2\]
C.	\[lo{{g}_{2}}5\]
D.	\[lo{{g}_{10}}5\]
Answer» D. \[lo{{g}_{10}}5\]

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If \[{{\log }_{10}}2,\,{{\log }_{10}}({{2}^{x}}-1)\] and \[{{\log }_{10}}({{2}^{x}}+3)\] are three consecutive terms of an A.P, then the value of x is

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