Exponential and Logarithm Functions: Quiz

Problem 5

Given a = 4, b = 5, and x = 40, find the following:
  1. logax
  2. logba
  3. loga(xb)
  4. (logax)/(logbx)

Answers, problem 5

  1. log440 = ln(40)/ln(4) = 2.66096405
  2. log54 = ln(4)/ln(5) = 0.86135312
  3. log4(405) = 5 ln(40)/ln(4) = 13.30482024
  4. (log440)/(log540) = ln(5)/ln(4) = 1.16096405

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