question inside :)

Question

question inside :)

anonymous · Answer

|dw:1353461289646:dw|

anonymous · Answer

this is the question, in case my handwriting/drawing is hard to see :P

anonymous · Answer

answer choices A,B,C,D from top to bottom :)

anonymous · Answer

5x

anonymous · Answer

how'd u get that? :O

anonymous · Answer

im not quite sure if i am understanding this right, but did u just make the 5x not an exponent, so that takes out the ln, so you get e=5x ?? idk is that right?

jim_thompson5910 · Answer

ln is a natural log which 'undoes' the exponential function with 'e' as a base

so basically

ln(e^x) = x

and

e^[  ln(x)  ] = x

which tells you that f(x) = ln(x) and g(x) = e^x are inverse functions

anonymous · Answer

okay, wait so my answer is ln(x) ? or is it ln(5x) ?

jim_thompson5910 · Answer

no i'm just saying in general

anonymous · Answer

wait scratch that... there is no ln(5x) haha my bad... or is it just 5x ?

anonymous · Answer

ohhh okay :P i see

jim_thompson5910 · Answer

in my example, replace each 'x' with '5x'

anonymous · Answer

okay :) so my answer is B. 5x because of that? since e=x ? and x = 5x ?

anonymous · Answer

is that right? since u said e=x right?

jim_thompson5910 · Answer

you are correct, and no i didn't say e = x

jim_thompson5910 · Answer

not sure where you got that

anonymous · Answer

oops sorry! i meant this: e^[  ln(x)  ] = x lol :P

and okay great!! thanks!! :)

jim_thompson5910 · Answer

i gotcha

anonymous · Answer

oops sorry! i meant this: e^[  ln(x)  ] = x lol :P

and okay great!! thanks!! :)