Categories
Algebra

Use of the Laws of Logarithms: Set – III

Science > Mathematics > Algebra > Logarithms > Use of Laws of Logarithms Set – III In the last article, we have studied to solve problems on the use of laws of logarithms to prove given logarithmic expression. In this article, we shall study to solve more problems on these laws to prove given relation […]

Categories
Algebra

Laws of Logarithms

Science > Mathematics > Algebra > Logarithms > Laws of Logarithm In this article, we shall study the laws of logarithm and their proofs. Laws of logarithm are very important in mathematics and every student should have confidence in using them. Laws of Product: loga(mn) = logam + logan, where a, m, n are positive […]

Categories
Algebra

Concept of Logarithm

Science > Mathematics > Algebra > Logarithms > Concept of Logarithm In this article, we shall study the concept of logarithms and interconversion between exponential form and logarithmic form. Laws of Indices: am × an = am + n am ÷ an = am – n           (a ≠ 0) (am)n = amn […]

Categories
Algebra

Use of the Laws of Logarithms: Set – I

Science > Mathematics > Algebra > Logarithms > Use of the Laws of Logarithms Set – I In the last article, we have studied the laws of logarithms and their proofs. In this article, we shall study to solve problems on laws of logarithms (law of product, Law of quotient, Law of exponent, etc.) to […]

Categories
Algebra

Problems Based on Definition of Logarithm

Science > Mathematics > Algebra > Logarithms > Problems Based on Definition of Logarithms In the last article, we have studied the concept of logarithm and interconversion between exponential form and logarithmic form. In this article, we shall study to solve problems based on the definition of logarithm. Definition of Logarithm: If m = ax, […]

Categories
Algebra

Use of the Laws of Logarithms: Set – VI

Science > Mathematics > Algebra > Logarithms > Use of Laws of Logarithms Set – V (Solve for x) In the last article, we shall study problems based on the change of base rule. In this article, we shall study the use of definition and the laws of logarithms to find the value of ‘x’ […]

Categories
Algebra

Logarithms

In this article, we shall study to solve problems on logarithms in which a relation is given using which we have to prove another relation. Laws of Logarithms Log a + Log b = Log (ab) (Law of Product) Log a – log b = log (a/b)    b ≠ 0 (law of Quotient) Log am […]

Categories
Algebra

Use of the Laws of Logarithms: Set – V

Science > Mathematics > Algebra > Logarithms > Use of Laws of Logarithms Set – V (Change of Base Rule) In the next article, we shall study to solve more problems on the laws of logarithms to prove given logarithmic relation. In this article, we shall study problems based on the change of base rule. […]

Categories
Algebra

Use of the Laws of Logarithms: Set – II

Science > Mathematics > Algebra > Logarithms > Use of the Laws of Logarithms Set – II In the last article, we have studied to solve problems on the laws of logarithms to evaluate or simplify given logarithmic expression. In this article, we shall study to solve more problems on these laws to prove given […]

Categories
Physical Chemistry

Solubility Product

Science > Chemistry > Physical Chemistry > Ionic Equilibria > Solubility Product In this article, we shall study the concept of solubility, solubility product, and its applications. Some ionic solids are highly soluble in water while others are almost insoluble in it. The solubility of ionic solid depends on lattice enthalpy of the salt and […]