Learn about the properties of logarithms that help us rewrite logarithmic expressions, and about the change of base rule that allows us to evaluate any logarithm we want using the calculator.

Sal explains what logarithms are and gives a few examples of finding logarithms.

Logarithms are the inverses of exponents. They allow us to solve challenging exponential equations, and they are a good excuse to dive deeper into the relationship between a function and its inverse.

Logarithms were originally used to facilitate calculations before modern calculators existed. Logarithms made it easier to perform difficult operations, e.g. find the value of 4th root of 24, which is super cool …

This topic covers: - Radicals & rational exponents - Graphs & end behavior of exponential functions - Manipulating exponential expressions using exponent properties - Exponential growth & decay - …

Course: Algebra 2 > Unit 8 Lesson 1: Introduction to logarithms Intro to logarithms Intro to Logarithms Evaluate logarithms Evaluating logarithms (advanced) Evaluate logarithms (advanced) Relationship …

Learn how to solve any exponential equation of the form a⋅b^ (cx)=d. For example, solve 6⋅10^ (2x)=48. The key to solving exponential equations lies in logarithms! Let's take a closer look by working …

Learn how to rewrite any logarithm using logarithms with a different base. This is very useful for finding logarithms in the calculator!

But when you evaluate a logarithm, you're getting an exponent that you would have to raise b to to get to a times c. But let's just apply this property right over here.

We also know that if we have a logarithm-- let me write it this way, actually-- if I have b times the log base a of c, this is equal to log base a of c to the bth power.