Question

4e^(X^2)=800
solve for x
satellite where are you?

Answer 1

right here

Answer 2

divide by 4

Answer 3

\[e^{x^2}=200\]

Answer 4

rewrite in equivalent logarithmic form

Answer 5

\[x^2=\ln(200)\]

Answer 6

solve for x:
\[x=\pm\sqrt{\ln200}\]

Answer 7

also note that \[ln(200)=ln(2\times 100)=ln(2)+ln(100)=ln(2)+ln(10^2)\]
\[=ln(2)+2ln(10)\]

Answer 8

not that this helps much

Answer 9

k?

Answer 10

for sure? i had x^2lne=ln200.....then x^2+1=ln 200.....is that wrong?

Answer 11

ok but \[x^2\ln(e)=x^2\times 1 =x^2\]

Answer 12

not \[x^2+1\]

Answer 13

ohh......okay....i see why that was wrong. you are amazing ;)

Answer 14

don't take that step in any case. remember that
\[e^x=y\] says exactly the same thing as \[y=\ln(x)\]

Answer 15

you are taking too many steps. write in "equivalent logarithmic form" and you will not have to mess with \[\ln(e)\]

Answer 16

okay thank you

Answer 17

welcome!

Answer 18

i gotta run, do you have another quick one?

Answer 19

convert log$3(22) into natural. is it ln22/ln3?

Answer 20

yes change of base formula you have it.

Answer 21

okay bye.wish i could put you in my pocket. hope to find you again