As we have just discussed, to solve this logarithmic equation, we have to solve. 2 x ( x - 1 ) = 4 . x > 0 ,, \quad \quad x > 1 . Among the two roots of the quadratic equation, x_1 = -, 1 ,, \quad
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Use the rules of logarithms to combine like terms, if necessary, so that the
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For two logarithms of the same base to be equal, their arguments must be equal. In other words, if \log (a)=\log (b) log(a) =log(b) then a a must equal b b \frac {x+1} {x-1}=1000 x −1x +1 = 1000
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