C4 General exponential question

right, I have a question about when you have an equation like

ln(1+Y)=x-x^2+c and you have to put into the form y=f(x)

I know you raise both sides by e. so the right hand side becomes

e^(x-x^2+c) however I also know that in more simple examples like e^(x+c) I can write that as e^x * e^c

Therefore can i write e^(x-x^2+c)

as e^(x/x^2) * e^c?

Reply 1

54321A

You gotta find the value of c first using Y and x values given then yeah you're right you raise it to the power of e.

Reply 2

f45

OP

2

i know im going the right way lol. I want to know if I'm allowed to leave it like that right at the very end.

"as e^(x/x^2) * e^c?"

Reply 3

Muffin.

2

f45

right, I have a question about when you have an equation like

ln(1+Y)=x-x^2+c and you have to put into the form y=f(x)

I know you raise both sides by e. so the right hand side becomes

e^(x-x^2+c) however I also know that in more simple examples like e^(x+c) I can write that as e^x * e^c

Therefore can i write e^(x-x^2+c)

as e^(x/x^2) * e^c?

e^c is just a constant so you should write Ae^(x-x^2)