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Solve-for-x-in-the-equation-4-x-8x-I-know-the-answer-is-2-I-need-the-solution-Thanks-




Question Number 4630 by sanusihammed last updated on 15/Feb/16
Solve for x in the equation  4^(x ) = 8x    I know the answer is 2. I need the solution. Thanks
$${Solve}\:{for}\:{x}\:{in}\:{the}\:{equation} \\ $$$$\mathrm{4}^{{x}\:} =\:\mathrm{8}{x} \\ $$$$ \\ $$$${I}\:{know}\:{the}\:{answer}\:{is}\:\mathrm{2}.\:{I}\:{need}\:{the}\:{solution}.\:{Thanks} \\ $$$$ \\ $$
Commented by FilupSmith last updated on 16/Feb/16
it uses the product log function
$$\mathrm{it}\:\mathrm{uses}\:\mathrm{the}\:\mathrm{product}\:\mathrm{log}\:\mathrm{function} \\ $$
Commented by Rasheed Soomro last updated on 16/Feb/16
There is no algebraic way.  Numerical methods work.
$${There}\:{is}\:{no}\:{algebraic}\:{way}. \\ $$$${Numerical}\:{methods}\:{work}. \\ $$

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