You need as many equations as you have variables.
If a system of equations is inconsistent, there are no solutions.
A system of equations may have any amount of solutions. If the equations are linear, the system will have either no solution, one solution, or an infinite number of solutions. If the equations are linear AND there are as many equations as variables, AND they are independent, the system will have exactly one solution.
That would depend a lot on the specific equations. Often the following tricks can help: (a) Take antilogarithms to get rid of the logarithms. (b) Use the properties of logarithms, especially: log(ab) = log a + log b; log(a/b) = log a - log b; log ab = b log a. (These properties work for logarithms in any base.)
Exponents
A slide rule.
There are many equations that are neither linear nor quadratic. A simple example is a cubic equation, such as y = x3, or a logarithmic equation, such as y = ln(x).
The answer will depend on what kinds of equations: there are linear equations, polynomials of various orders, algebraic equations, trigonometric equations, exponential ones and logarithmic ones. There are single equations, systems of linear equations, systems of linear and non-linear equations. There are also differential equations which are classified by order and by degree. There are also partial differential equations.
In algebraic equations, exponents can contain variables. They can be solved for by using logarithmic rules for exponents.
That's where you get screwed, from trying to solve too many logarithmic equations. It is also what happens if you forget to log on to Wiki, and Wiki retaliates by turning you into an ID number.
Exponential and logarithmic functions are different in so far as each is interchangeable with the other depending on how the numbers in a problem are expressed. It is simple to translate exponential equations into logarithmic functions with the aid of certain principles.
There is no subject to this question: "logarithmic" is an adjective but there is no noun (or noun phrase) to go with it. The answer will depend on logarithmic what? Logarithmic distribution, logarithmic transformation or what?
You need as many equations as you have variables.
The given equation is exponential, not logarithmic!The logarithmic equation equivalent to ea= 47.38 isa = ln(47.38)ora = log(47.38)/log(e)The given equation is exponential, not logarithmic!The logarithmic equation equivalent to ea= 47.38 isa = ln(47.38)ora = log(47.38)/log(e)The given equation is exponential, not logarithmic!The logarithmic equation equivalent to ea= 47.38 isa = ln(47.38)ora = log(47.38)/log(e)The given equation is exponential, not logarithmic!The logarithmic equation equivalent to ea= 47.38 isa = ln(47.38)ora = log(47.38)/log(e)
Maxwell's equations contain two scalar equations and two vector equations. Gauss' law and Gauss' law for magnetism are the scalar equations. The Maxwell-Faraday equation and Ampere's circuital law are the vector equations.
They are equations that involve many steps to find the solution.
If a system of equations is inconsistent, there are no solutions.