Is it possible to solve this equation mathematically?

  • Thread starter Suy
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In summary, solving the equation log(x)/log(4)=(2^x)-6 without using a graphing calculator may be difficult as it involves transcendental functions. One possible method is using Lambert's W function, which is defined as the inverse of xe[sup]x. This type of problem may be encountered in university-level mathematics courses.
  • #1
Suy
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without using the graphing calculator to find the intersect
is it possible to solve this?
i tried this solve this equation a long time, i still can't solve for x...
log(x)/log(4)=(2^x)-6
 
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  • #2
Suy said:
without using the graphing calculator to find the intersect
is it possible to solve this?
i tried this solve this equation a long time, i still can't solve for x...
log(x)/log(4)=(2^x)-6
Generally speaking, a function having the unknown x both inside and outside transcendental function- and here ex is the inverse of ln(x) so ex is "doubly" outside ln(x)!- with elementary functions. You might be able solve it using "Lambert's W function" which is defined as the inverse f(x)= xex. That is, W(xex)= x.
 
  • #3
is this university stuff?
cuz i just started learning log
 

FAQ: Is it possible to solve this equation mathematically?

Can all equations be solved mathematically?

Yes, all equations can be solved mathematically as long as they follow the rules of algebra and have a finite number of solutions.

What is the process for solving an equation mathematically?

The process for solving an equation mathematically involves isolating the variable on one side of the equation and simplifying the other side until the variable is the only remaining term. Then, you can solve for the variable using inverse operations.

Are there any equations that cannot be solved mathematically?

Yes, there are some equations that cannot be solved mathematically. These are known as "non-algebraic" equations and often involve unknown variables that cannot be isolated or solved for.

Can a computer solve an equation mathematically?

Yes, a computer can solve an equation mathematically using algorithms and programming languages. However, the accuracy of the solution depends on the accuracy of the input and the complexity of the equation.

Is there a universal method for solving all equations mathematically?

No, there is no one universal method for solving all equations mathematically. Different types of equations, such as linear or quadratic equations, have different methods for solving them. It's important to understand the properties and rules of each type of equation in order to solve them correctly.

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