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>This is really interesting! The function is still the logarithm to the base 10, but you managed to manipulate the functions, without using the definitions of logarithm.
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>Oh, by the way, I will briefly explain a little about logarithms.
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>The inverse operation of addition is subtraction.
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>The inverse operation of multiplication is division.
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>For a power, there are two inverse operations. This is because taking a power is not commutative; for example, 2^10 is not equal to 10^2 (2^10 = 1024, 10^2 = 100).
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>One inverse operation is to solve for the base. For example, in the equation x^2 = 100, you know the exponent (2), but you have to figure out the base. The solution is called a square root.
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>The other inverse operation is if you know the base, to solve for the exponent. For example (from the above problem), 10^x = 10,000. The solution is called a logarithm: log10(10000) in this case. The 10 should be in subscript.

Nice explanation.