How Do I Solve This Natural Logarithm Problem?

AI Thread Summary
To solve the equation 1/3 = ln(x^2/(x-4)), one must first understand that the natural logarithm is the inverse of the exponential function. By raising e to the power of both sides, you get e^(1/3) = x^2/(x-4). This allows for the equation to be simplified and solved for x. The next step involves multiplying both sides by (x-4) to eliminate the fraction. Ultimately, this approach leads to a solvable equation for x.
empty.soul
Messages
1
Reaction score
0

Homework Statement


This is my first time ever posting anything on here...but we just started working with ln? I know that it's the base e? or something like that...
but the problem is this...

1/3=ln(x^2/x-4)

Homework Equations


The Attempt at a Solution


I haven't attempted..i don't know how to do it o.o
 
Last edited:
Physics news on Phys.org
ln is the opposite of "e to the power of", just like how addition is the opposite of subtraction. That is, if you raise e to the power of a certain number, taking the ln of the result gives you back the original number.

I presume you have to solve for x in 1/3=ln(x^2/x-4). I'll get you started: what happens when you raise e to the power of both sides? That is, e^(1/3)=e^(ln(x^2/x-4)), which simplifies to...
 
Thread 'Collision of a bullet on a rod-string system: query'
In this question, I have a question. I am NOT trying to solve it, but it is just a conceptual question. Consider the point on the rod, which connects the string and the rod. My question: just before and after the collision, is ANGULAR momentum CONSERVED about this point? Lets call the point which connects the string and rod as P. Why am I asking this? : it is clear from the scenario that the point of concern, which connects the string and the rod, moves in a circular path due to the string...
Thread 'A cylinder connected to a hanged mass'
Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
Back
Top