Identify products within the logarithm, then split the log into a sum of logs: $\log_b(xy) = \log_b(x) + \log_b(y)$.

Identify exponents within the logarithm, then bring the exponent down as a multiplier: $\log_b(x^n) = n\log_b(x)$.

Use the change of base formula: $\log_b(x) = \frac{\log_{10}(x)}{\log_{10}(b)}$.

Apply properties to isolate the variable. Rewrite in exponential form if necessary.

The logarithm of a product is equal to the sum of the logarithms of the individual factors.

The logarithm of a number raised to a power is equal to the power multiplied by the logarithm of the number.

Allows you to convert a logarithm from one base to another, useful when calculators don't have the desired base.

Logarithmic functions are the inverses of exponential functions. They 'undo' each other.

The inverse function to exponentiation. If $b^y = x$, then $\log_b(x) = y$.

The logarithm with base e, denoted as $\ln(x)$.

The mathematical constant e, approximately equal to 2.71828.