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Consider two curves {C}_{{{1}}}:{y}={{{1}}}{{{x}}}{{and}}{C}_{

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Consider two curves $C_{1} : y = \frac{1}{x} and C_{2} : y =$ In x on the xy plane. Let $D_{1}$ denotes the region surrounded by $C_{1}, C_{2},$ and the line x=1 and $D_{2}$ denotes the region surrounded by $C_{1}, C_{2} and the line x=a. If D_{1} = D_{2},$ then the sum of logarithm of possible values of a is ___.

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Consider two curves

C_{1} : y = \frac{1}{x} and C_{2} : y =

In x on the xy plane. Let

D_{1}

denotes the region surrounded by

C_{1}, C_{2},

and the line x=1 and

D_{2}

denotes the region surrounded by

C_{1}, C_{2} and the line x=a. If D_{1} = D_{2},

then the sum of logarithm of possible values of a is ___.

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Question Text

Consider two curves

C_{1} : y = \frac{1}{x} and C_{2} : y =

In x on the xy plane. Let

D_{1}

denotes the region surrounded by

C_{1}, C_{2},

and the line x=1 and

D_{2}

denotes the region surrounded by

C_{1}, C_{2} and the line x=a. If D_{1} = D_{2},

then the sum of logarithm of possible values of a is ___.

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