Rewrite the following in terms of “a”: y=xe^((a/vw) )

Question

Can someone help me with this one please.

 

Rewrite the following in terms of “a”: y=xe^(a/vw)

 

I'm not sure of the steps on how to achieve the correct answer.

Answer 1

Do you mean in terms of a?  It's already in terms of a, since a is one of the values in the expression for y,

 

Or do you mean, write an expression for a?

 

If you mean that then you would do the following:

 

y = xe^(a/vw)

 

Divide both sides by x:

y/x = e^(a/vw)

 

Take the natural logarithm of both sides:

ln (y/x) = ln e^(a/vw)

ln y - ln x = a/vw

 

Multiply both sides by vw:

vw (ln y - ln x) = a

 

You can also write this as:

 

ln ((y/x)^vw) = a