Flashcard 10 - Quantitative Reasoning Flashcard Set for the DAT

Logarithmic and exponential equations are inverse operations. In this case, the logarithmic equation \(\log_{5}(125) = 3\) can be converted into an exponential equation \(5^3 = 125\).

The rule is: \(y = a^b\) can be written as \(\log_{a}(y) = b\)

This transformation highlights the relationship between logarithms and exponents, where the logarithm represents the exponent to which the base must be raised to produce the given number.