SOLUTION: Q1. Rearrange x = 1/2 A In (q - 3) + c to obtain q Q2. Make y the subject E = P (1 - e^(y - 1))

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: Q1. Rearrange x = 1/2 A In (q - 3) + c to obtain q Q2. Make y the subject E = P (1 - e^(y - 1))      Log On


   

Question 136751: Q1. Rearrange x = 1/2 A In (q - 3) + c to obtain q

Q2. Make y the subject E = P (1 - e^(y - 1))
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Q1. Rearrange x = 1/2 A In (q - 3) + c to obtain q
:
Multiply equation by 2 to get rid of the denominator
2x = A*ln(q-3) + 2c
:
Subtract 2c from both sides:
2x - 2c = A*ln(q-3)
:
Divide both sides by A
%28%282x-2c%29%29%2FA = ln(q-3)
:
Use the exponent equivalent of logs
e%5E%28%28%282x-2c%29%2FA%29%29 = q - 3; Note that%28%282x-2c%29%29%2FA is the exponent of e
Add 3 to both sides
q = e%5E%28%28%282x-2c%29%2FA%29%29%2B3
:
:
Q2. Make y the subject E = P (1 - e^(y - 1))
Divide both sides by P
E%2FP = 1-e%5E%28%28y-1%29%29
or we can arrange it:
e%5E%28%28y-1%29%29 = 1 - E%2FP
Find the natural log of both sides(ln of e is 1)
y - 1 = ln%281-%28E%2FP%29%29
Add 1 to both sides:
y = ln%281-%28E%2FP%29%29 +1