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joo
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What is the analytical method for solving log. eqs., like x=2^x/14 ?
In high school they only teach us the graphical approach =/
joo
In high school they only teach us the graphical approach =/
joo
I like Serena said:Welcome to PF, joo!
In university they still use the graphical approach. ;)
In addition they use approximation algorithms, like the method of Newton-Raphson (which is based on a Taylor series expansion).
It's only the really bold ones in math that use the Lambert W function, which is a function that has only been invented to be able to write the solution to your equation.
As far as I know, no one really uses it.
jedishrfu said:(HUMOR)
But Lambert used it and they made a movie on his life among sheep:
(/HUMOR)
The analytical method for solving logarithmic equations involves using algebraic techniques to rewrite the logarithmic equation into an exponential form and then solving for the variable.
The analytical method should be used when the logarithmic equation has only one logarithm and the base of the logarithm is the same for both sides of the equation.
The steps involved in using the analytical method to solve logarithmic equations are: 1. Rewrite the logarithmic equation in exponential form.2. Isolate the variable by applying properties of logarithms.3. Solve for the variable using algebraic techniques.
No, the analytical method can only be used for logarithmic equations with one logarithm and the same base on both sides of the equation. For equations with multiple logarithms or different bases, other methods such as graphing or using a calculator may be more appropriate.
Yes, some tips for using the analytical method to solve logarithmic equations are: - Familiarize yourself with the properties of logarithms.- Double-check your answer by plugging it back into the original equation.- Be careful with negative solutions and make sure they make sense in the context of the problem.