When you have an equation of the form a^x = b, taking the logarithm of both sides allows you to solve for x. This is particularly useful when dealing with exponential growth or decay problems.

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.

Before solving these problems though, we need to know how exactly logarithmic and exponential statements are connected. Specifically, the different parts of both equations.

Intro to logarithm properties (2 of 2) Intro to logarithm properties Using the logarithmic product rule Using the logarithmic power rule Using the properties of logarithms: multiple steps Proof of the …

Mar 3, 2016 · What you will learn in this lesson Logarithms, like exponents, have many helpful properties that can be used to simplify logarithmic expressions and solve logarithmic …

Learn how to solve any exponential equation of the form a⋅b^ (cx)=d. For example, solve 6⋅10^ (2x)=48.

You can change the base of your logarithm to any base using the change of base rule. "ln" (log base e) and "log" (log base 10) are the most common bases used because most scientific …

Learn algebra through engaging lessons on exponential and logarithmic functions at Khan Academy.

Since we're dealing with variables as indices (aka powers, exponents), log_10, log_ (anything), and ln (the natural log) all work because they are inverses of exponential functions.

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