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Logarithm of negative number The base b real logarithm of x when x<=0 is undefined when x is negative or equal to zero: log b ( x ) is undefined when x ≤ 0
A negative log can be converted into a positive log using one of the following log rules: The negative log of an argument is the logarithm of the reciprocal of the argument. i.e., -log b a = log b a-1 = log b (1/a). The negative log with a base is the logarithm whose base is the reciprocal of the given base. i.e., -log b a = log (1/b) a. What ...
The negative property of logarithms states that the negative of a logarithm is equal to the logarithm of the reciprocal of the number. This property can be written as: − log b. a = log b. 1 a. This property is very useful in simplifying logarithmic expressions and solving logarithmic equations. Discuss further with Flexi. Ask your own question!
Looking at that table, see how positive, zero or negative logarithms are really part of the same (fairly simple) pattern. The Word "Logarithm" is a word made up by Scottish mathematician John Napier (1550-1617), from the Greek word logos meaning "proportion, ratio or word" and arithmos meaning "number", ... which together makes "ratio-number" !
Raising the logarithm of a number to its base is equal to the number. Learn the eight (8) log rules or laws to help you evaluate, expand, condense, and solve logarithmic equations. Try out the log rules practice problems for an even better understanding.
28 Μαΐ 2024 · For negative bases, logarithm leads to complex results. Now, let us assume the base is 1, and the equation is: log 1 7 = x ⇒ 1 x = 7. Since 1 raised to any power yields 1, 1 x = 7 is false. Thus, the base does not equal 1. For Argument. The argument ‘x’ is always a positive real number (a > 0).
While the value of a logarithm can be a negative number, the argument (x-value) of any logarithm cannot be negative. This is because the base of a logarithm can only be a positive number greater than 1, and a positive number raised to anything will be a positive number: base > 1.
