Please mention indentities also Share with your friends Share 0 Neha Sethi answered this xlog10x=104x3⇒xlog10x×x3=104⇒xlog10x+3=10000Apply exponent rule xfx=efxlnxxlog10x+3=elog10x+3lnx⇒elog10x+3lnx=10000If fx=gx then lnfx=lngx⇒lnelog10x+3lnx=ln10000Apply logaxb=blogax⇒lnelog10x+3lnx=log10x+3lnx lne⇒log10x+3lnx lne=ln10000⇒log10x+3lnx=ln104 lne=1⇒log10x+3lnx=4ln10⇒log10xlog10elog10x+3=4ln10 using lnx=log10xlog10ePut log10x=u⇒uu+3log10e=4ln10⇒uu+3=4ln10log10e⇒uu+3=4⇒u2+3u-4=0⇒u2+4u-u-4=0⇒uu+4-1u+4=0⇒u+4u-1=0⇒u=1,-4Since u= log10xSo, log10x=1=log10101=log1010⇒x=10and log10x=-4=log1010-4=log10110000So, x=110000Now product of roots =10×110000=11000 0 View Full Answer
