Question

x^radlogx = 10^6; solve for x

Answer 1

\[x ^{\sqrt{logx} } = 10^6\]

Answer 2

1000000000000

Answer 3

take log on both sides

\[\sqrt {lgx} \times lgx = 6\]
Let lgx = u

\[u^\frac{ 3 }{ 2} = 6\]
\[u=6^\frac{ 2 }{ 3}\]
\[x=10^{6^{\frac{ 2 }{ 3}}}\]
\[x=10000\]