dyn said:Thanks. Are there any conditions for that to apply ?
Also when taking the exponential over to the other side of the equation I presume order matters in case any operators do not commute ?
An exponential operator is a mathematical symbol that represents repeated multiplication of a number by itself. It is typically denoted by a caret (^) and an exponent, which indicates how many times the base number should be multiplied by itself.
Inverting an exponential operator means finding the value of the exponent when given the base and the result. This can be done by taking the logarithm of the result with the same base as the original exponential expression. For example, if the expression is 2^x = 16, the inverse operation would be log base 2 of 16, which equals 4.
Rearranging an exponential expression means changing the order of the terms in the expression without changing the value. This is often done to simplify the expression or to make it easier to solve for a certain variable.
Expanding an exponential expression means writing it in its expanded form by multiplying out the terms. This is useful for solving more complex equations or for understanding the factors that make up the expression.
Exponential operators are commonly used in various fields of science, including physics, chemistry, and biology. They can be used to model growth and decay in natural processes, such as population growth, bacterial growth, and radioactive decay. They are also used in finance and economics to calculate compound interest and inflation rates.