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Logarithms

Logarithms (Question)

Solve the following logarithms expression.

  1. 3x = 25
  2. log35
  3. log2x = 10

Guide:

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

The laws of logarithms

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

Logarithms (Answer)

  1. x = 2.929
  2. x = 1.465
  3. 100

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