Question

Can anyone slove this :
$(\frac{-1}{2} )^{n} = (\frac{1}{3* \sqrt[3]{9} } )^{log_{3}8 }$

Answer 1

Answer is "there is no solution." 

We can solve it by taking logarithms to base 2 on both sides.

Observe that RHS is positive.
So LHS is positive. So n must be an even power.

See the enclosed picture for solution.

It turns out n=5. But n is to be an even number. So there is no solution.

Answer 2

Answer:

hope this answer useful to you and