Use the definition of logarithms to translate among logarithms in any base.
Rewrite an exponential equation in logarithmic form
Problem
What is the equivalent logarithmic form of \(3^4=81\)?
Big Picture
What this problem is really about
When moving from exponential to logarithmic form, preserve the original base. The power's result becomes the logarithm's argument, and the original exponent becomes the logarithm's value. A quick verbal check is to ask what exponent on that unchanged base produces the stated result.
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.
