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If the value of the third term in the expansion of ${(x + x^{\log_{10} x})}^{5}$ is $10^{6}$ , then x may have value(s)

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Correct option is B

T3=5C2x5−2xlog10⁡x2=106⇒x2log10⁡x+3=105⇒t(2t+3)=5 where t=log10⁡x⇒t=−5/2,1

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If the value of the third term in the expansion of x+xlog10⁡x5is 106 , then x may have value(s)

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If the value of the third term in the expansion of ${(x + x^{\log_{10} x})}^{5}$ is $10^{6}$ , then x may have value(s)