Identities are equations that are true for all values of the variables involved.This lesson is meant to summarize the various identities that are used in relation to Exponentials and Logarithms:
| Identity | Expression |
| Exponential | \(a^x+y = a^x ⋅ a^y\) |
| Logarithmic | \( \log_b(xy) = \log_b(x) + \log_b(y) \) \( \log_b\left(\cfrac{x}{y}\right) = \log_b(x) - \log_b(y) \) \( \log_b(x^r) = r \cdot \log_b(x) \) |