Solution of an exponential equation

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The equation 128^b - 127^b = 147.058 cannot be solved analytically. Numerical methods like the Bisection method and Newton-Raphson are appropriate for this type of problem. Attempts to find an analytical solution have been deemed futile by participants in the discussion. The consensus is that numerical approaches are the only viable solutions. Therefore, relying on numerical methods is recommended for solving this equation.
Ali Baig
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Homework Statement


I am trying to solve an equation.
128^b - 127^b = 147.058.

Homework Equations

The Attempt at a Solution


I have tried numerical methods like Bisection method and Newton-Raphson, but I need analytical solution.
Thank you.
 
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Ali Baig said:
need analytical solution.
What makes you think there is one?
 
Ali Baig said:

Homework Statement


I am trying to solve an equation.
128^b - 127^b = 147.058.

Homework Equations

The Attempt at a Solution


I have tried numerical methods like Bisection method and Newton-Raphson, but I need analytical solution.
Thank you.

Those are the only methods that will work in this problem. An analytical solution is not possible.
 

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