Nice Square Root Math Simplification I Find the value of x

Nice Square Root Math Simplification I Find the value of x
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[@user-ui9nu7co1s]

Excellent

[@jamesharmon4994]

Just take both sides to the eighth power in the first step. 7^4 * 7^2 * 7 = 343 ^ 8x
7^7 = (7^3)^8x
7^7 = 7^24x
7 = 24x
x = 7/24

[@ZenaAdmasu]

7/24

[@ORCODEMONE]

1/8