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  • Let f(x)=log 25 (base x^2 ) and g(x)=log 5 (base x) then f(x)=g(x) holds , then find the interval for x .

Let f(x)=log 25 (base x^2 ) and g(x)=log 5 (base x) then f(x)=g(x) holds , then find the interval for x .

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Solution:     We have ,   f(x)=log _x^225 and  g(x)=log _x5

                Domain  of  f in R-1,0

                Domain of  gin (0,infty)-1

              For               f(x)=g(x)

          Domain of f  =  Domain of g  Rightarrow f(x)=g(x)

        If          xin (0,infty)-1

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Deependra Verma

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