Algebra 2 Regents Review: How to Solve Exponential & Log Equations

Struggling with logs and exponents on your Algebra 2 Regents exam? You aren't alone. The NYS exam always features questions where you have to switch between logarithmic and exponential forms or solve an equation where $x$ is trapped in the exponent. Today, we are breaking down these exact problem types step-by-step under the camera so you can lock in these points with 100% confidence. What We Master in This Video: 1. The Conversion Formula: How to easily rewrite exponential forms (b^x = y) into log forms (log_b(y) = x) and vice versa without confusing your base and your exponent. 2. Solving with Common Bases: Spotting when both sides of an equation share a base (like 2 and 8, or 3 and 9) so you can set the exponents equal to each other. 3. The Power Rule Hack: Taking the common log (log) or natural log (ln) of both sides when bases don't match, allowing you to bring the variable "down to earth" to solve using ordinary algebra #algebra2regents #algebra2 #logarithmicfunctions #exponentialequations #nysregents #mathhelp #absolutevaluemath #regentsreview #highschoolmath