What makes you think there is one?Ali Baig said:need analytical solution.
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.
An exponential equation is an equation in which one or more of the variables appear in an exponent. It typically has the form of y = ab^x, where a and b are constants and x is the variable.
To solve an exponential equation, you can use logarithms. Take the logarithm of both sides of the equation, and then use algebraic techniques to solve for the variable. Be sure to check your solution to make sure it is valid.
Yes, an exponential equation can have more than one solution. This is because exponential functions are one-to-one, meaning that each input value (x) corresponds to one and only one output value (y). However, in some cases, the equation may have no real solutions.
An exponential equation has the form y = ab^x, while a logarithmic equation has the form logb(y) = x. Exponential equations involve solving for the variable in the exponent, while logarithmic equations involve solving for the exponent.
Exponential equations are used in many real-life situations, such as calculating population growth, compound interest, and radioactive decay. They can also be used in fields like biology, finance, and physics to model various natural phenomena and make predictions.