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White solving logarithmic equations or logarithmic inequalities care must be taken to ensure that the value of the variable obtained do indeed satisfy the given equation . Often the solution consists in transforming the original equation to form which can be solved with ease . But in bargain the process the transformations carried out are hot always equivalent .In what follows one must verify that the values of veriablesobtained indeed satisfy original equation or inequation. The solution of the inequality The solution of the inequality x log_(1)/(10) (x^(2) + x = 1) gt 0 is given by

Answer»

`-oo LT X lt 2`
`-oo lt x lt - 1`
`- 3 lt x lt 1`
`1 lt x lt 3 `

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