The value of x in this logarithmic equation is approximately 20.0855. This answer is determined by using an exponential form to express this logarithmic equation and then finding the variable x. More » Math Algebra

The mathematical property associated with ln x + ln y is the product rule of natural logarithms, expressed as ln(x ? y) = ln(x) + ln(y). The rule is used for adding together any two logarithm expressions that are to the ... More »

The equation y = ln(x) states that y is equal to the natural logarithm of x. The natural logarithm is defined as the area under the curve of y = 1/t between t = 1 and t = x. More » Math Algebra

A contradiction equation is never true, no matter what the value of the variable is. In this case, the answer appears as the empty set, "{ }," or "phi" from the Greek alphabet, according to Seminole State College. More »

In mathematics, inequalities are a set of five symbols used to demonstrate instances where one value is not the same as another value. The five symbols are described as "not equal to," "greater than," "greater than or eq... More »

Raising 9 to the third power, or 9 cubed, results in a value of 729. This is an algebraic process using exponents. More »

A limit solver is tool that can determine the limit of a function when a variable approaches a given value. As of August 2014, limit solvers are available online at WolframAlpha, Symbolab and MathPortal. More » Math Algebra