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globi
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Homework Statement
Dear all
I am calibrating a temperature measurement model and I am stuck with an equation. The variable z is given; x and y represent two regression terms with common regressors - which I will solve for a specific regressor in a second step.
Homework Equations
ln(e^x) = ln(z) + ln((e^x) + (e^y))
I need all x and y non-exponential, so that I can solve the equation for x and y. Now I am confused with the properties of ln((e^x) + (e^y)), this is a bracket of two exponential summands with two different exponents.
The Attempt at a Solution
As far as I know, the term ln(a+b) can not be rewritten that easily. But I was wondering if this changes if both summands are exponential, as in my case.
How can I solve the equation for x and y?
Thank you.