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# Logarithms

Question

Solve the following questions.

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

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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