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Logarithms

Question

Solve the following questions.

  1. 3x = 25
  2. log3x = 2
  3. log35

 

Answer

  1. x = 1.3979/0.4771 = 2.929
  2. 9
  3. x = 0.69897/0.4771 = 1.465

Note:

  • You may see from below on how the logarithm expression can be simplied (eg. when logorithms with same base be added or subtracted from one another).
  • If you remember the laws of logarithms, you may notice that sometimes logarithms expression can be written in different ways.

The laws of logarithms

  • loga1 = 0
  • logaa = 1
  • alogax = x
  • logax = logbx/logba
  • logam + logan = loga(m * n) = logamn
  • logam – logan = loga(m / n)
  • logamb = b*logam

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