To determine

If provided statement is true or false.

Answer

Solution: False.

Explanation

Given: x>0, then (lnx)6=6lnx.

Let x=5

Left hand side =(lnx)6

=(ln5)6 put x=5

=(1⋅609437912)6=17⋅37982

Right hand side =6lnx

=6×ln5 put x=5

=6×1⋅609437=9⋅656627475

Left hand side ≠ Right hand side.

Conclusion: Since, at x=5(x>0) Left hand side and right hand side are not equal

therefore, statement is false.