AI Flashcards: Logarithms, Laws and Solving Equations

AI-generated flashcards for Logarithms, Laws and Solving Equations

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What is the definition of a logarithm?

A logarithm answers the question: to what exponent must a base be raised, to produce a given number? It is defined as $\log_b(a) = c \iff b^c = a$.

State the quotient rule of logarithms.

The quotient rule states that $\log_b\left(\frac{x}{y}\right) = \log_b(x) - \log_b(y)$.

What is the relationship between logarithms and exponents?

Logarithms are the inverse operations of exponentiation; if $y = b^x$, then $x = \log_b(y)$.

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