No.
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Exponents can simplify very ugly math problems and their relation to logarithms makes them invaluable. FYI logarithms were invented before exponents.
common logarithms, natural logarithms, monatary calculations, etc.
logarithms. If y = ax then x = logay
There are many. There are those that deal with the four basic binary operations, then there are rules governing exponents and logarithms.
Natural logarithms are logarithms to base e, where e is the transcendental number which is roughly equal to 2.71828. One of its properties is that the slope (derivative) of the graph of ex at any point is also ex.