When working with extremely large numbers, it is sometimes necessary to interconvert between natural logarithms and log10 if you wish to know the order of magnitude in base 10 of a large number. For example, if you have the number 1.23 x 10456, the order of magnitude of this number is "456". To convert a natural logarithm to log10, we can use a property of logarithms that says logab = (logac)(logcb) If we let A be our number of interest, for which we want to determine the order of magnitude, and we let a = 10 and c = e = 2.71828... the natural base, then we would have log10A = (log10e) (INA) For practice, if In(x) = 43.098, what is the value of log10(x)?

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