I am rusty with my ln/log solving skills. What would be the equation for calculating the rate?
(Weight_current) = (Weight_initial) * (1 + rate)^(Week_current - 8)
rate=?
(Weight_current) = (Weight_initial) * (1 + rate)^(Week_current - 8)
rate=?
-
⇒ (Weight_current) = (Weight_initial) * (1 + rate)^(Week_current − 8)
Divide both sides by (Weight_initial)
⇒ (1 + rate)^(Week_current − 8) = (Weight_current)/(Weight_initial)
Raise each side to the power of 1/(Week_current − 8)
⇒ (1 + rate) = [(Weight_current)/(Weight_initial)] ^ (1/(Week_current − 8))
Subtract 1 from both sides:
⇒ rate = [(Weight_current)/(Weight_initial)] ^ (1/(Week_current − 8)) − 1
As you can see, there was no need to use logs. You would only use logs if you wanted to solve for a variable that is in the exponent, such as Week_current
Divide both sides by (Weight_initial)
⇒ (1 + rate)^(Week_current − 8) = (Weight_current)/(Weight_initial)
Raise each side to the power of 1/(Week_current − 8)
⇒ (1 + rate) = [(Weight_current)/(Weight_initial)] ^ (1/(Week_current − 8))
Subtract 1 from both sides:
⇒ rate = [(Weight_current)/(Weight_initial)] ^ (1/(Week_current − 8)) − 1
As you can see, there was no need to use logs. You would only use logs if you wanted to solve for a variable that is in the exponent, such as Week_current