Evaluate basic logarithmic expressions by using the fact that a^x=b is equivalent to log_a (b)=x.

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.

Radicals let us work backwards to get a base, but logarithms retrieve the exponent. The logarithmic properties may look new, but they're just the exponential properties in a new notation.

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

Sal evaluates log₂(8), log₈(2), log₂(⅛), and log₈(½).

Solve various problems that focus on the relationship between a^x=b and log_a (b)=x.

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

Find the logarithmic variable expression that is equivalent to a given logarithmic expression.

Evaluate basic logarithmic expressions by using the fact that a^x=b is equivalent to log_a (b)=x.