Question

2. Solve (log1ox)2 – (log10x) - 6 = 0

JEE/Engineering Exams

Maths

Solution

112

4.0 (1 ratings)

( left(log _{10} xright)^{2}-log _{10} x-6=0 ) ( left(log _{10} xright)^{2}-3 log _{10} x+2 log _{10} x-6=0 ) ( log _{10} xleft(log _{10} x-3right)+2left(log _{0} x-3right)=0 ) ( left(log _{10} x-3right) operatorname{ar}left(log _{10} x+2right)=0 ) ( therefore frac{2}{T}+theta g ) Case I' [ begin{aligned} log _{10} x &=3 Rightarrow & x=10^{3} end{aligned} ] Case III [ log _{10} x=-2 ] [ x=10^{-2} ]