Question

( 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}
]

# 2. Solve (log1ox)2 – (log10x) - 6 = 0

Solution