What the value of x when log base x of 1/10000 is equal to -4?

Log x 1/10000 = -4





I know x^-4 is 1/10000|||x^4 = 10000 = 10^4


=%26gt; x = 10|||log(1/10000) = - 4





or, - log(10000) = - 4





or, log10^4 = 4





or, 4log10 = 4





or, log10 = 1





or, x^1 = 10





therefore x = 10





(please put base as x for all the above expressions of log)|||Solve: log (x) (1/10000) = -4


log (x) (10000) = 4


Now, x^4 = 10000 = 10^4


=%26gt; x=10 ....................(Ans)|||x^-4=(10000)^-1


x^(-4)*(-1/4)=10000^(-1)*(-1/4)


x=10000^(1/4)


x=10 or x=-10








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