Question

Find the solution of the exponential equation. e12x=e3x5e^{1-2 x}=e^{3 x-5}

Solution

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Answered 2 years ago
Answered 2 years ago
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Since exponential function is one-to-one, we can remove the base

e12x=e3x512x=3x52x3x=515x=6x=65e^{1-2x}=e^{3x-5}\\\\ 1-2x=3x-5\\\\ -2x-3x=-5-1\\\\ -5x=-6\\\\ x=\dfrac{6}{5}

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