Logarithms
Question
Solve the following questions.
- 3x = 25
- log3x = 2
- log35
Answer
- x = 1.3979/0.4771 = 2.929
- 9
- 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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