log*x^2 = 4

 

taking inverse of the log function of both sides,

x^2 = e^4

 

taking square root of both sides,

x = ±e^2  (Answer)

 

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If, by log x², you mean log₁₀x², then:  log₁₀x²  =  4   --->   x²  =  10⁴   --->   x²  =  10,000

--->   x  =  √(10,000)  =  100