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Standard NCERT / Clark's Edition
Interactive Logarithm Lab
Master Logarithms, One Step at a Time.
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Live Analysis:
N = 23.4
Scientific: 2.340 × 10¹
Characteristic
1
(10¹)
2 digits - 1
Mantissa
.3692
Row 23 col 4
log₁₀(N)
1.3692
Exact 4-Fig
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4-Figure Table
Rows 10 to 99 with Mean Differences
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Antilog Table
Look up .00 to .99 & Bar Notation
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Step-by-step logs, roots & powers
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Practice & Learn
CBSE, State Boards & JEE Quiz
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Interactive Table Preview
Tap any cell to reveal exact mantissa lookup| No. | 0 | 1 | 2 | 3 | 4 | MD(4) | MD(5) |
|---|---|---|---|---|---|---|---|
| 20 | 3010 | 3032 | 3054 | 3075 | 3096 | 8 | 10 |
| 21 | 3222 | 3243 | 3263 | 3284 | 3304 | 8 | 10 |
| 22 | 3424 | 3444 | 3464 | 3483 | 3502 | 8 | 10 |
| 23 | 3617 | 3636 | 3655 | 3674 | 3692 | 7 | 9 |
Selected: Row 23, Column 4
Mantissa = .3692 (+9 diff = .3701)
Formula of the Day
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Product Rule of Logarithms
log₁₀(m × n) = log₁₀(m) + log₁₀(n)
• Example: log₁₀(2 × 3) = log₁₀(2) + log₁₀(3)
• log₁₀(2) ≈ 0.3010, log₁₀(3) ≈ 0.4771 → Sum = 0.7781 ✓
• log₁₀(2) ≈ 0.3010, log₁₀(3) ≈ 0.4771 → Sum = 0.7781 ✓
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Daily Quick Challenge
What is the characteristic of 0.0054?
Rule: Count zeroes following decimal point immediately.
Why Logarithms Work
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Logarithms convert cumbersome multi-digit multiplications into simple additions, and roots into simple divisions:
Linear Scale
1 → 1,000,000
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Log₁₀ Scale
0 → 6