The value/values of x in the expression x+xlog10x5if the third term in the expansion is 10,00,000 is/are

Inclusion of log x implies x > 0.Now, 3rd term in the expansion isT2+1=5C2x5−2xlog10⁡x2=1000000 (given) or    x3+2log10⁡x=105Taking logarithm of both sides, we get3+2log10⁡xlog10⁡x=5or   2y2+3y-5=0, where log10x=yor  (y−1)(2y+5)=0 or y=1 or −5/2or  log10⁡x=1 or −5/2∴x=101=10 or 10−5/2