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Expanding logarithms using the quotient property involves breaking down a single logarithm of a quotient into the difference of logarithms of its numerator and denominator. For example, `\log_b\left(\frac{x}{y}\right)` expands to \(\log_b(x) - \log_b(y)\) when the bases are the same. This way of expanding logarithms makes complex math problems easier by breaking them into simpler parts, which helps with doing math faster and more accurately.

Example: Expand the logarithm `\log_3\left(\frac{10}{x}\right)` using the quotient property.

Algebra 2

Logarithms