answersLogoWhite

0

How does one solve e2x equals 3x2?

User Avatar

Smashleyxx12

Lvl 1
11y ago
Updated: 10/17/2024

Given the limitations of the browser that is used by this site, it is difficult to be certain about your question. If I misunderstand your question, (a) please accept my apologies and (b) resubmit your question spelling out the symbols as "plus", "minus", "times", "equals", "squared", "cubed" etc.

I am assuming that you wish to solve e2x = 3x2

The only way that I can think of solving this is numerically and, in that case, the Newton Raphson method is quick and easy (for differentiable functions).

To start with, your question is equivalent to finding a solution to e2x - 3x2 = 0, so define f(x) = e2x - 3x2.

Therefore f'(x) = 2e2x - 6x.

Start with x0 as the first guess.

Then let xn+1 = xn - f(xn)/f'(xn) for n = 0, 1, 2, …

Continue until you get convergence of xn.

If you plot a graph of f(x) against x, you will know that the root of f(x) lies between -1 and 0. This helps to select a suitable value for x0.

If you start with -1, your error is around 8 per billion at x4. If you start with 0, it is less than 1 in 1.5 billion at x4. The answer is -0.390646381 (approx).

User Avatar

Wiki User

11y ago

Still curious? Ask our experts.

Chat with our AI personalities

MaxineMaxine
I respect you enough to keep it real.
Chat with Maxine
RafaRafa
There's no fun in playing it safe. Why not try something a little unhinged?
Chat with Rafa
DevinDevin
I've poured enough drinks to know that people don't always want advice—they just want to talk.
Chat with Devin
More answers

no it is solve e2x equals 3x2?

User Avatar

Add your answer:

Earn +20 pts
Q: How does one solve e2x equals 3x2?
Write your answer...
Submit
Still have questions?
magnify glass
imp