Question

Express y as a function of x. lny=7x+lnC

Answer 1

the goal is to isolate y, so you need to undo that ln (natual log)

Answer 2

what undoes the natural log? ie what is the inverse of a natural log?

Answer 3

The number e?

Answer 4

yep, e^x is the inverse

Answer 5

lny=7x+lnC

e^( lny )=e^( 7x+lnC )

y = e^(7x + lnC)

y = e^(7x) * e^(lnC)

y = e^(7x) * C

y = C * e^(7x)

Answer 6

hopefully that makes sense