If you're seeing this message, it means we're having trouble loading external resources on our website.

If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked.

Main content

Algebra 2

Unit 8: Lesson 4

The change of base formula for logarithms
Math
Algebra 2
Logarithms
The change of base formula for logarithms
© 2023 Khan AcademyTerms of usePrivacy PolicyCookie Notice

Evaluate logarithms: change of base rule

Google Classroom
You might need: Calculator

Problem

Evaluate the logarithm.
Round your answer to the nearest thousandth.
2, log, start base, 6, end base, left parenthesis, 33, right parenthesis, approximately equals
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3, slash, 5
  • a simplified improper fraction, like 7, slash, 4
  • a mixed number, like 1, space, 3, slash, 4
  • an exact decimal, like 0, point, 75
  • a multiple of pi, like 12, space, start text, p, i, end text or 2, slash, 3, space, start text, p, i, end text
Stuck?
Stuck?