\nthroot3{2}^{x}=512

\nthroot5{4}^{x}=64

\nthroot3{32}^{x}=1

\nthroot4{8}^{x}=256

\nthroot3{4}^{x}=0.25

\nthroot4{4}^{x}=1

\nthroot5{2}^{x}=0.25

\nthroot3{32}^{x}=8

\nthroot3{2}^{x}=0.25

\nthroot4{32}^{x}=0.25

\nthroot5{0.25}^{x}=0.25

\nthroot4{1024}^{x}=16

\nthroot4{0.5}^{x}=2

\nthroot3{16}^{x}=2

\nthroot4{1024}^{x}=1

\nthroot4{0.25}^{x}=8

\nthroot3{0.5}^{x}=512

\nthroot3{0.5}^{x}=32

\nthroot5{0.25}^{x}=0.5

\nthroot5{8}^{x}=1

\nthroot3{4}^{x}=16

\nthroot5{4}^{x}=32

\nthroot5{8}^{x}=16

\nthroot4{1024}^{x}=0.25