LOGARITHMS
POWERS OF 10
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Log = How Many Zeros?
1
= 10⁰
log = 0
10
= 10¹
log = 1
100
= 10²
log = 2
1,000
= 10³
log = 3
10,000
= 10⁴
log = 4
1,00,000
= 10⁵
log = 5
10,00,000
= 10⁶
log = 6
log 1000 = 3
3 zero
log 1 = 0
10⁰ = 1
× → +
log(ab) = log a + log b
1. Meaning
log₁₀ x = the power of 10
gives x
2. Laws
log(ab) = log a + log b
log(a/b) = log a − log b · log aⁿ = n log a
3. Misal
log 100 + log 1000
= 2 + 3 = 5 = log 10⁵
MATRIC MATHS · LOGARITHMS · PUNJAB BOARDS
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