Solving for x with natural logs

  • Thread starter Thread starter Ry122
  • Start date Start date
  • Tags Tags
    Natural
Ry122
Messages
563
Reaction score
2
Hi
Im having difficulty solving for x in this equation.
5=9ln(x+4)
I have no idea where to start so i can't show u any working.
 
Physics news on Phys.org
can you show at least one step? there is at least one very easy step that you could do.

question: if i ask u to find ln(x+2) = 3, how can you get rid of ln?
 
Last edited:
Take another look and don't get bogged down in details until youve done some basic simplification. Work from the outside in and you should be able to rearrange this into something you're much more happy to deal with.

Roco covered it pretty well when he told you there was one easy step you could do =-)
 
raise e to the power of 3?
 
Ry122 said:
raise e to the power of 3?
yep

\exp^{\frac{5}{9}}=(x+4)

now just solve for x
 
Prove $$\int\limits_0^{\sqrt2/4}\frac{1}{\sqrt{x-x^2}}\arcsin\sqrt{\frac{(x-1)\left(x-1+x\sqrt{9-16x}\right)}{1-2x}} \, \mathrm dx = \frac{\pi^2}{8}.$$ Let $$I = \int\limits_0^{\sqrt 2 / 4}\frac{1}{\sqrt{x-x^2}}\arcsin\sqrt{\frac{(x-1)\left(x-1+x\sqrt{9-16x}\right)}{1-2x}} \, \mathrm dx. \tag{1}$$ The representation integral of ##\arcsin## is $$\arcsin u = \int\limits_{0}^{1} \frac{\mathrm dt}{\sqrt{1-t^2}}, \qquad 0 \leqslant u \leqslant 1.$$ Plugging identity above into ##(1)## with ##u...
Back
Top