If and are the solutions of such that and

MATHEMATICS · Numerical · A Level · Mathematics · Exponentials and logarithms · Exponentials and logarithms

Problem

If

x_1

and

x_2

are the solutions of

x^{\log_{10}x}=100x

such that

x_1>1

and

x_2<1

, find

\frac{x_1x_2}{2}

.

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