logx5

logx5 is a mathematical function, specifically a logarithm. The notation "logx5" typically represents the logarithm of the number x to the base 5. This means that logx5 is the exponent to which 5 must be raised to produce the value x. In mathematical terms, if y = logx5, then 5^y = x.

Logarithms are inverse functions of exponentiation. Just as subtraction is the inverse of addition and division is the inverse of multiplication, logarithms are the inverse of powers. The base of the logarithm is crucial; in this case, it is 5. Other common bases for logarithms include 10 (common logarithm, often written as log x) and e (natural logarithm, written as ln x).

The domain of the logarithmic function logx5 is all positive real numbers for x, as you cannot raise 5 to any real power to obtain a non-positive number. The range of the function is all real numbers. Evaluating logx5 involves determining that specific power that 5 needs to be raised to in order to equal x. For example, log255 = 2 because 5^2 = 25. Similarly, log1255 = 3 because 5^3 = 125.