What good manners :)

I'll give you 3 points for having a go  - and because I am in a playful mood :)

Yes McKmney, I agree, 60 is less than 180 but that does not tell us much about s      LOL

3s<180

s<180/3

s<60

I don't know formulas so I will have to work it out using logic and rates.

hz=cycles /second

wavelength=metres/cycle

speed of light is  299 792 458 m / s      (according to some clever person on Google)

m/cycle=m/s*s/cycle   (the seconds cancel out)

m/cycle= 299 792 458 divided by 2.45 x 10^14  

$${\frac{{\mathtt{299\,792\,458}}}{\left({\mathtt{2.45}}{\mathtt{\,\times\,}}{{\mathtt{10}}}^{{\mathtt{14}}}\right)}} = {\mathtt{0.000\: \!001\: \!223\: \!642\: \!685\: \!7}}$$       this is in metres

$${\frac{{\mathtt{299\,792\,458}}}{\left({\mathtt{2.45}}{\mathtt{\,\times\,}}{{\mathtt{10}}}^{{\mathtt{14}}}\right)}}{\mathtt{\,\times\,}}{{\mathtt{10}}}^{{\mathtt{9}}} = {\mathtt{1\,223.642\: \!685\: \!714\: \!285\: \!714\: \!3}}$$       this is in nanometres

I think that is correct  

8r-r/6 > 1/6-8

multiply both sides by 6 to get rid of the fractions

48r-r>1-48

47r>-47

r>-1

What is Ri ? Is  that 2 things or just one?

Is  that hyphen between the 2 zeros meant to be a decimal point?

anyway

$$\\1.451 = 1.470 - Ri * 0.0148 \\
1.451-1.470 = - Ri * 0.0148 \\
-0.019 = - Ri * 0.0148 \\
Ri=0.019/0.0148$$

and you can finish it   

X equals treasure.

It always marks the spot on pirate's treasure maps :))

This is an excellent thing to know - especially if you are a pirate.  

You do it with the calc on the home page. :)

You mean the absolute value - or non directional value of it gets bigger ?

Maybe you mean

$$\\lnx=log_x(e^4)\\\\
x^{lnx}=x^{log_x(e^4)}\\\\
x^{lnx}=e^4\\\\
ln(x^{lnx})=ln{e^4}\\\\
(lnx)(lnx)=4lne\\\\
(lnx)^2=4\\\\
lnx=2\;\;or\;\;lnx=-2\\\\
x=e^2\;\;\;or\;\;\;x=\frac{1}{e^2}$$