Apply the natural logarithm to both sides of the equation. Divide both sides of the equation by k. Example: Solving an Equation of the Form y = Aekt y = A e k t Solve 100 = 20e2t 100 = 20 e 2 t.

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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Since we want to transform the left side into a single logarithmic equation, we

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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