THE LEARNING STUDIO · MATHS, MADE CLEAR

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Standard 11Mathematics

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Standards 1–12 books522 working toolsNo account needed
STANDARD 9 PRACTICE0 / 15 topics

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India · Standard 11View curriculum reference
STANDARD 11 · FORMULA TO ANSWER

Logarithms & functions

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Mathematics

Logarithm to a chosen base

Calculate logarithm to a chosen base and see the working behind your result.

Inputs

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RESULT
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Formula & explanation
logᵦ(x) = ln(x)/ln(b)

Variables & units

Positive number
Numeric value · minimum 0.000001, maximum 1000000
Logarithm base
Numeric value · minimum 0.000001, maximum 1000000

Worked example

log₁₀(100) = 2.

Assumptions

The number and base must be positive; the base cannot be one.

Formula version 1.0.0. JavaScript floating-point arithmetic applies. Results display up to 6 decimal places; stored values retain available precision. Use the units shown.

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NCERT/CBSE references. Topic selections are curated practice; board, edition and year requirements vary. These are suggested topic collections, including related practice and enrichment; they are not exhaustive syllabus mappings, university endorsements, or complete exercise solutions. All public calculators stay available to every learner.

Books and source materials
Clear sources. Original explanations.

Source review: 2026-11-02. Book titles follow the NCERT publication list. Class 9 topic alignment uses the CBSE 2026–27 curriculum. Publisher sites can update editions and may occasionally be unavailable.