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A logarithm is the inverse of exponentiation: log_b(x) = y means b^y = x. Logarithms compress large ranges of values (useful for the Richter scale, decibels, pH, information theory), linearise exponential relationships, and are central to many mathematical formulas. The natural logarithm (base e) and base-10 logarithm are the most commonly used.
Formule
Guide étape par étape
- 1log_b(x) = ln(x) / ln(b) — change of base formula
- 2Natural log ln(x) = log_e(x), where e ≈ 2.71828
- 3Common log log₁₀(x) = log(x) in most contexts
- 4Binary log log₂(x) — used in information theory and computer science
- 5log_b(x) is undefined for x ≤ 0 or b ≤ 0 or b = 1
Exemples résolus
Questions fréquentes
What is Logarithm Solver?
A logarithm is the inverse of exponentiation: log_b(x) = y means b^y = x. Logarithms compress large ranges of values (useful for the Richter scale, decibels, pH, information theory), linearise exponential relationships, and are central to many mathematical formulas
How accurate is the Logarithm Solver calculator?
The calculator uses the standard published formula for logarithm solver. Results are accurate to the precision of the inputs you provide. For financial, medical, or legal decisions, always verify with a qualified professional.
What units does the Logarithm Solver calculator use?
This calculator works with inches. You can enter values in the units shown — the calculator handles all conversions internally.
What formula does the Logarithm Solver calculator use?
The core formula is: log_b(x) = ln(x) / ln(b) — change of base formula. Each step in the calculation is shown so you can verify the result manually.
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