Use logarithms to solve exponential equations of the form ab^(ct)=d and evaluate with technology.
Solve exponential equations by rewriting both sides with a common base and setting the exponents equal
Problem
What is the solution to \(2^{x+1}=32\) after rewriting with common bases?
Big Picture
What this problem is really about
Before reaching for logarithms, check whether the constant side is an exact power of the exponential base. Rewriting both sides with one valid base lets the one-to-one property turn the exponential equation into a simple equation between exponents. Solve that equation completely, then verify in the original form.
Inside Gozunta
Turn the preview into practice.
More than a preview
Gozunta lets you study this problem—and more than 10,000 others.
Create targeted learning sessions, use hints, check your answer, read the walkthrough, watch the video, print the work, and track your progress.
