How to find the value of the logarithm of a variable

[Enrique Alameda]

Dear all,

I am dealing with currency in Indonesian rupiahs. When I take the logarithm of income, the mean is 11.80. I would like to provide a reference for this value in terms of USD, and therefore would like to know what approximately 11.80 is in terms of Indonesian rupiahs.

Do you know how I can do this in Stata?

[Andrew Musau]

If you took the natural logarithm, then the inverse function is the exponential function. But note that \(exp(mean(log(x))) \neq mean(x)\). The former is a geometric mean (as opposed to an arithmetic mean).

. display exp(11.80)
133252.35

[George Ford]

And with what Andrew provides, do the conversion here:

https://www.xe.com/currencyconverter/

Or, find the relevant value here and do the math (probably better as it's not subject to daily fluctuations).

https://www.irs.gov/individuals/international-taxpayers/yearly-average-currency-exchange-rates