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umm...

well, IF "I = X times Y to the Z power" is what you mean, solve for Z.
I am taxing my memory here, but I am sure I'll be corrected if I am wrong!

1) divide both sides by X:

I/X = Y^Z

2) take the log (any flavor of log you like; I like base 10) of both sides to get rid of that nasty exponent:

log (I/X) = log (Y^Z)

log (I/X) = log Y * log Z

[log (I/X) = log I - log X, FWIW]

3) solve for Z

log Z = (log (I/X))/log Y

Z = 10^[log (I/X)/log Y]

I think.

all the best,
mrh


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