ln(e+1) - ln(e^2) + ln(e) =
ln(e*1) = ln(e)
ln(e)/ln(e^2)(e) Divide because of the subtraction.
but ln(e) = 1, and ln e^2 * e = e^3. Lne^3 = 3.
Answer = 1/3
ln(e+1) - ln(e^2) + ln(e) =
ln(e*1) = ln(e)
ln(e)/ln(e^2)(e) Divide because of the subtraction.
but ln(e) = 1, and ln e^2 * e = e^3. Lne^3 = 3.
Answer = 1/3
C://dos
C://dos.run
run.dos.run
I am working on another problem right now that is far more pressing. I am trying to take a pile of about 150 red poker chips and turn them into more than 270, all using only the will of my mind...
It's proving to be difficult.
I wrote an amusing solution to Phantom's question in the margin of Bike Forums. But now I'm feeling...argh...[thud]
well, so long as you are using your time productively
seriously, you guys with your physics and organic chem threads are making me feel as stupid as I really am.
I am thinking about taking some night classes in math/science. I'm one of those humanities people, so it'll be like teaching Gary Coleman to slam dunk. But life needs a challenge, huh?
I'm having a hard time understanding what you're doing...
Going kinda along your lines:
ln(e + 1) - ln(e^2) + ln(e) =
ln((e + 1)/e^2) + ln(e) =
ln(((e + 1)/e^2)*e) =
ln((e + 1)/e)=
ln(e + 1) - ln(e) =
ln(e + 1) - 1
Or more simply:
ln(e + 1) - ln(e^2) + ln(e) =
ln(e + 1) - 2*ln(e) + ln(e) =
ln(e + 1) - 2*1 + 1=
ln(e + 1) - 1
and there's why this electronic engineer wannabe settled for computer analyst nighshifter...
Remember that:
and
Ride more.
Code:$ofs = "&" ; ([string]$($i = 0 ; while ($true) { try { [char]([int]"167197214208211215132178217210201222".substring($i,3) - 100) ; $i = $i+3 > catch { break >>)).replace('&','') ; $ofs=" " # Replace right angles with right curly braces
Attempting to go by your logic, I think where you may have gone wrong was assuming that this was an equation, i.e. you assumed that there was something that it related to. The problem was asking you to reduce the expression, so there was nothing to move that ln(e) statement to.
Ride more.
Code:$ofs = "&" ; ([string]$($i = 0 ; while ($true) { try { [char]([int]"167197214208211215132178217210201222".substring($i,3) - 100) ; $i = $i+3 > catch { break >>)).replace('&','') ; $ofs=" " # Replace right angles with right curly braces
Stay away from condensed expressions, dude. I only use freshly-squeezed expressions.
Make sure it doesn't have concentraet.
Ride more.
Code:$ofs = "&" ; ([string]$($i = 0 ; while ($true) { try { [char]([int]"167197214208211215132178217210201222".substring($i,3) - 100) ; $i = $i+3 > catch { break >>)).replace('&','') ; $ofs=" " # Replace right angles with right curly braces
No, you need to concentrate in order to solve these problems.
Ride more.
Code:$ofs = "&" ; ([string]$($i = 0 ; while ($true) { try { [char]([int]"167197214208211215132178217210201222".substring($i,3) - 100) ; $i = $i+3 > catch { break >>)).replace('&','') ; $ofs=" " # Replace right angles with right curly braces
Ride more.
Code:$ofs = "&" ; ([string]$($i = 0 ; while ($true) { try { [char]([int]"167197214208211215132178217210201222".substring($i,3) - 100) ; $i = $i+3 > catch { break >>)).replace('&','') ; $ofs=" " # Replace right angles with right curly braces
Thank John Napier you have them as a tool in the first place.
Thanks to those who contributed with helpful comments.
C://dos
C://dos.run
run.dos.run
Ride more.
Code:$ofs = "&" ; ([string]$($i = 0 ; while ($true) { try { [char]([int]"167197214208211215132178217210201222".substring($i,3) - 100) ; $i = $i+3 > catch { break >>)).replace('&','') ; $ofs=" " # Replace right angles with right curly braces
We need more of these in schools:
And fewer of these:
Agreed.
When I was in high school, my physics teacher had a supply of slide rules plus instruction booklets that were handed out to any student who forgot their calculators (this was when all the cool kids had TI-86s) on exam days. It then became a bit of a machismo contest to see who could get the best marks using the slide rules. By the end of the course, we realized that the graphing calculators aren't nearly as essential as we once thought.