Converting Between Forms

Algebra 2 · Axiom Academy

EXAMPLE Converting Between Forms Master converting between exponential form and logarithmic form — in both directions. Convert the exponential equation 2^3 = 8 into logarithmic form — then reverse the process and convert a logarithmic equation back into exponential form. Excellent work! You've mastered converting between exponential and logarithmic forms. Remember: Exponential to logarithmic: becomes The three parts stay the same — only their positions change. A logarithm answers the question: “what exponent gives us this result?” Both forms express the same relationship — just from different perspectives. Try it yourself: convert to logarithmic form (answer: ), and convert back to exponential form (answer: ). Once form-conversion feels automatic, it becomes the key move for solving exponential and logarithmic equations later in this unit.

This is the written version of the interactive lesson above. See the full Algebra 2 course.