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Top 3 Widely Used Algebraic Equations Online

The mathematic expression, algebra consists of four parts; variable, coefficient, constant, and operator. When you put the expression in an equation solver or try to solve it yourself, you will find that it represents the number … Read More

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The mathematic expression, algebra consists of four parts; variable, coefficient, constant, and operator. When you put the expression in an equation solver or try to solve it yourself, you will find that it represents the number and quantities present in the equation.

There are many algebra equations, but only 3 are widely used. Each of these types has different input and output interpretations. You can recognize the power and variety of algebraic operations from the way these equations are used.


  1. Monomial and Polynomial Equations

Variables and whole number exponents are the two components of monomial and polynomial equations. The number of variable terms present in an equation defines and classifies them.

  • Monomial – have one variable term
  • Binomial – have two variable terms
  • Trinomial –have three variable terms

All equations having more than one term are called polynomial. You can further classify polynomials into linear, quadratic, and cubic equations based on the expression’s highest exponential power.

Quadratic trinomial x^2-x+3 is one of the most difficult algebraic polynomial equations. Take the help of the best online equation solver for your arithmetic assignment if you can’t solve the equations by yourself. The arc formed in the sky from missile fires is best described with quadratic trinomials.


  1. Exponential Equations

Exponential equations have variable terms in their exponents. They are classified into positive exponents and negative exponents. If the variable has a positive coefficient, it is termed exponential growth, and if it has a negative coefficient, it is termed exponential decay. Radioactive decay is the best example of exponential decay.

Exponential growth can be found in calculations of population or disease spread in a region. You have to be very accurate in exponential growth answers since they are used in sensitive calculations like disease spread in a region. Refer to an accurate equation solvers calculator to calculate or recheck your answer.


  1. Logarithmic Equations

The functions of logarithmic equations are the opposite of exponential equations. Like, the logarithmic equation of y=2^x is log 2x. To find the logarithmic value of an expression, you have to find the number that will raise the base number to get the exponent. For example, log 5 of 125 is 3 because the third power of 5 is 125.

Intensity scales like Richter scales for earthquakes and decibel scales for sound uses logarithm equations. To better understand how logarithm is used to measure earthquake and sound; put your equation in an equation solver displaying answers with steps.

To sum up, there are many types of algebraic equations, but only 3 types are widely used. Monomial equations have only one variable term, while polynomial has two or three terms. According to the degree of exponents, polynomial equations are further classified into linear, quadratic, and cubic equations.

Exponential equations have variable terms in their exponents and are classified into positive exponents and negative exponents according to the growth or decay of the variable coefficient. The inverse of the exponential equation is the logarithmic equation.

To find the logarithmic value of an expression, you have to find the number that will raise the base number to get the exponent. They have multiple practical uses.

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