Simplify logarithm expr

Given that logxU + logxV =p and logxU - logxV =q

Prove that U=x^½(p+q)

Correct answer:

U = pow(x,(p+q)/2)

Step-by-step explanation:

 logx U + logx V =p logx U  logx V =q  (1)+(2)  logx U + logx V + ( logx U  logx V ) =p+q  2 logx U =p+q  logx U = (p+q)/2  U=x(p+q)/2

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