Exponents and Logarithms Toolkit

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8 Terms

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Exponent Rules

Set of mathematical rules for manipulating exponents.

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a^0

Any non-zero number raised to zero equals one.

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Negative Exponent

a^(-x) equals 1/a^x for a ≠ 0.

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Logarithm Definition

log_a y = x means a^x = y.

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log_a 1

Logarithm of one equals zero for any base.

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log_a a

Logarithm of base equals one.

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Product Rule

log_a(xy) = log_a x + log_a y.

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Power Rule

log_a(x^y) = y log_a x.