Solving Algebraic Equations: How to Solve 0 = 7.5x - 50ln(2x + 1) - 600

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To solve the equation 0 = 7.5x - 50ln(2x + 1) - 600 algebraically, it is noted that it cannot be solved using elementary functions. The equation can be transformed into the form e^x = x, which requires the use of the Lambert W-function for an exact solution. Graphing the equation is a viable approach, but obtaining an exact answer necessitates advanced mathematical tools. The Lambert W-function is essential for solving such equations involving logarithmic and exponential terms. Understanding this function is crucial for finding solutions to similar algebraic equations.
danago
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Hey. How can i solve this algebraically?

<br /> 0 = 7.5x - 50\ln (2x + 1) - 600<br />

Ive graphed it and done it like that, but id like to be able to obtain an exact answer. Anyone able to help me?

Thanks,
Dan.

EDIT: Oops, misspelled the title :P
 
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oh ok. Well thanks for confirming that :)
 

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