solve for x in
logx^2 = x/25

Question

solve for x in 
           logx^2 = x/25

turingtest · Answer

Welcome to Open Study
Please post in the the proper section; this is a math question in the chemistry section.
thanks.

anonymous · Answer

Hmm it seems like you might want to get rid of the logarithm function first, no?  (that's my first instinct)

If that's log base 10, then you need to multiply 10^( ) to both sides.
If that's the natural log, then you need to multiply e^( ) to both sides.

Assuming it's base 10...
$$\log_{10}x^2=\frac{x}{25}$$
$$\huge 10^{log_{10}x^2}=10^{x/25}$$
$$x^2=10^{x/25}$$
$$x=\pm\sqrt{10^{x/25}}$$

Where to go from there I'm not sure...

turingtest · Answer

I would start like$$\log(x^2)=\frac x{25}$$$$2\log x=\frac x{25}$$$$\log x=\frac x{50}$$$$x=10^{x/50}$$$$10^{x/50}-x=0$$then use ralphson-newton approximation

anonymous · Answer

hello Turing Test may go on please with ralphson-newton approximation

anonymous · Answer

hey turing may you go on

turingtest · Answer

oh that's a whole to-do involving calculus
do you know calculus?

turingtest · Answer

http://en.wikipedia.org/wiki/Newton's_method

anonymous · Answer

hello Turing may progress with the question then

turingtest · Answer

do you know calculus?

anonymous · Answer

not that much

anonymous · Answer

may you try going on with the question

turingtest · Answer

not if you don't know calculus; it's quite a long process if you just want the answer I suggest you just plug this into wolfram http://www.wolframalpha.com/input/?i=&t=crmtb01

paxpolaris · Answer

graph the two functions and see where they meet

x= 1.0495191898... or x=100.

anonymous · Answer

how can you graph it Pax

paxpolaris · Answer

http://lmgtfy.com/?q=y%3Dlog(x%5E2)%2C+y%3Dx%2F25 other than $\large x=100 $, you also get $\large x\approx-0.95689 $ and $\large x\approx 1.04952$ http://www.wolframalpha.com/input/?i=log_10%28x^2%29%3Dx%2F25