Logarithms are the inverse function of exponents. A logarithm asks "what power of the base yields the input value?". Common logarithms have a base of 10. The change-of-base formula allows converting between logarithms of different bases. Logarithm properties include log(uv)=log(u)+log(v) and log(u/v)=log(u)-log(v). Condensing and expanding logarithms uses these properties to combine or separate logarithms. Setting logarithms of the same base equal allows solving exponential equations.
Logarithms are the inverse function of exponents. A logarithm asks "what power of the base yields the input value?". Common logarithms have a base of 10. The change-of-base formula allows converting between logarithms of different bases. Logarithm properties include log(uv)=log(u)+log(v) and log(u/v)=log(u)-log(v). Condensing and expanding logarithms uses these properties to combine or separate logarithms. Setting logarithms of the same base equal allows solving exponential equations.