Linked from

The 50 pages that link to Logarithm, each with the reason it gives.

• pHNarrower topic: The base-10 logarithm makes each pH unit correspond to a tenfold activity change.

• Acid dissociation constantRelated: pKa is defined as the negative base-ten logarithm of Ka.

• Exponential functionCompared with: It reverses an exponential function and turns multiplicative change into additive change.

• Domain of a functionRelated: A real logarithm requires a positive argument, restricting the input domain.

• ExponentiationCompared with: Logarithms invert exponentiation when the base satisfies appropriate conditions.

• Inverse functionBroader topic: Logarithms undo exponentiation when solving equations.

• Henderson–Hasselbalch equationRelated: The logarithmic form makes pH depend on the conjugate-pair ratio by its base-ten logarithm.

• AllometryRelated: Logarithms make scaling exponents estimable from biological measurements.

• Shannon entropyRelated: The logarithm turns probabilities into information values and sets entropy's units.

• Square rootCompared with: Logarithms invert exponentiation by an arbitrary base, while square roots invert squaring.

• Scientific notationCompared with: Logarithms measure powers of ten rather than writing values as coefficient-times-power.

• DecibelNarrower topic: The base-ten logarithm turns multiplicative ratios into additive decibel values.

• pKaRelated: The base-ten logarithm turns widely varying Ka values into manageable pKa values.

• Logarithmic scaleBroader topic: Its values determine the positions assigned to numbers on a logarithmic scale.

• Natural logarithmNarrower topic: The natural logarithm is the logarithm with the particular base e.

• CodomainRelated: Its real-valued domain corresponds to the positive range of the real exponential function.

• Geometric meanRelated: Taking logarithms turns the geometric mean into an arithmetic mean of log-values.

• John NapierBroader topic: Napier’s tables made logarithms a practical way to replace multiplication with addition.

• Partial functionRelated: The real logarithm is defined only for positive arguments when its base is valid.

• Binary searchRelated: The number of halvings needed to reduce n candidates is proportional to log₂ n.

• ExponentRelated: Logarithms recover an exponent from a known base and result.

• Hammett acidity functionRelated: H₀ uses a negative base-ten logarithm to express protonating power.

• PowerCompared with: A logarithm solves for the exponent when the base and resulting power are known.

• Stirling's approximationRelated: Taking logarithms makes factorial growth easier to estimate and expand.

• Chernoff boundRelated: Taking logarithms expresses optimized tail bounds through rate functions.

• CompoundingRelated: Logarithms help solve for the time required to reach a target under compound growth.

• Slide ruleNarrower topic: Logarithms convert multiplication into addition, the principle behind the slide rule’s scales.

• Powers of tenRelated: A base-ten logarithm identifies the power of ten associated with a number.

• Rudolphine TablesRelated: Kepler used logarithms to reduce the labor of the extensive numerical calculations.

• Common logarithmNarrower topic: Common logarithms are the base-10 members of this broader family.

• Naive Bayes classifierRelated: Implementations sum log probabilities to avoid numerical underflow from multiplying many small values.

• Indeterminate formRelated: Taking logarithms converts indeterminate powers such as 1^∞ into quotient limits.

• Ralph HartleyNarrower topic: A logarithm makes the information in successive independent choices additive.

• Binary logarithmNarrower topic: Binary logarithm is one member of the broader family of logarithms.

• Difference engineCompared with: Logarithms simplified calculation through reference tables, the kind of printed resource the engine aimed to produce.

• Log-normal distributionRelated: Applying the natural logarithm turns a log-normal variable into a normal one.

• Maximum a posteriori estimationRelated: Taking logarithms often makes posterior maximization easier without changing its optimizer.

• Napier's bonesRelated: Napier's bones appeared alongside his broader program of simplifying numerical calculation.

• History of trigonometryRelated: Logarithmic tables greatly reduced the labor of multiplying trigonometric values.

• Product (mathematics)Related: Logarithms turn products of positive numbers into sums of their logarithms.

• Edmund GunterNarrower topic: Logarithms made Gunter’s graduated scales useful for multiplying and dividing.

• Geiger–Nuttall lawRelated: Taking logarithms makes the law’s steep energy dependence approximately linear.

• Henry BriggsNarrower topic: Briggs reshaped logarithms into a practical tool for reducing multiplication and division to addition and subtraction.

• Nth rootCompared with: Logarithms solve for an exponent; nth roots solve for a base with the exponent fixed.

• William OughtredNarrower topic: A slide rule converts multiplication into addition through logarithms.

• Benford's lawRelated: The law's digit probabilities come from logarithms of ratios between successive powers of ten.

• Brun–Titchmarsh theoremRelated: The factor log(x/q) sets the scale of the theorem’s upper bound.

• Elementary functionBroader topic: Logarithms extend the construction through inverses of exponential functions.

• Bohr–Mollerup theoremRelated: Taking the logarithm converts the theorem's multiplicative convexity condition into convexity.

• Jost BürgiRelated: His logarithmic tables made numerical calculations easier before mechanical calculators.