Question

2x-6 = (x-3)e^sinx

how do you get rid e^sinx? also, what is this type of problem called?

Answer 1

2x-6/x-3=e^sinx
2(x-3)/x-3=e^sinx
2=e^sinx
Ln2=sinx
x=arcsin (Ln2)

Answer 2

it's an equation

Answer 3

what type of equation? with the base e^sinx

Answer 4

thank you!

Answer 5

not any speial type. You wellcome

Answer 6

2x-6 = (x-3)e^sinx

2x - 6 = xe^sinx - 3e^sinx

3e^sinx - 6 = xe^sinx - 2x

3e^sinx - 6 = x(e^sinx -2)

x = \(\frac{3e^{\sin x} - 6}{e^{\sin x} -2}\)

that's how you get rid of it @camialtrs93 take note of the method as it is used a lot

Answer 7

and how you solve for x now?

Answer 8

@lgbasallote

Answer 9

\[\large x = \frac{3e^{\sin x} - 6}{e^{\sin x} -2}\] \[x = \frac{3\cancel{(e^{\sin x} - 2)}}{\cancel{e^{\sin x} - 2}}\] @myko

Answer 10

:)

Answer 11

the asker wanted the e^sinx gone lol

Answer 12

oh alright, thanks @lgbasallote!