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MathNet 2017-part-06 — 176 problems (EN–VI) Question 72

Math Olympiad Vault · MathNet 2017-part-06 — 176 problems (EN–VI)

Question 72

Which number is a solution of the equation $2^{x} \cdot 5^{x}=0.01 \cdot\left(10^{x-2}\right)^{4}$?
(A) $\frac{2}{3}$
(B) $\frac{10}{3}$
(C) $\frac{1}{3}$
(D) $-2$
(E) $-\frac{3}{2}$