Problem 2.13 (Schroeder’s Intro to Thermal Physics)

Mar 11, 2023

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Problem 2.13

Fun with logarithms.
(a) Simplify the expression $e^{a \ln{b}}$ . (That is, write it in a way that doesn’t involve logarithms.)
(b) Assuming that $b<<a$ , prove that $\ln{(a+b)} \approx (\ln{a})+(b/a)$ . (Hint: Factor out the a from the argument of the logarithm, so that you can apply the approximation of part (d) of the previous problem.)