Can log give negative values?

1. You can’t take the logarithm of a negative number or of zero. 2. The logarithm of a positive number may be negative or zero.

Logarithms cannot have non-positive arguments (that is, arguments which are negative or zero), but Quadratics and other equations can have negative solutions. When we convert a log equation to a different type of equation by equating the insides of the logs, we may be “creating” solutions that didn’t previously exist.

Logarithms cannot have non-positive arguments (that is, arguments which are negative or zero), but Quadratics and other equations can have negative solutions. When we convert a log equation to a different type of equation by equating the insides of the logs, we may be “creating” solutions that didn’t previously exist.

Log (1/a) = -log a means that The logarithm of 1 divided by some number is equal to the negative logarithm of that number. (This is the exactly the opposite of the rule governing exponents where a number raised to a negative number is equal to 1 divided by that number raised to that power.)

A common technique for handling negative values is to Add a constant value to the data prior to applying the log transform. The transformation is therefore log(Y+a) where a is the constant. Some people like to choose a so that min(Y+a) is a very small positive number (like 0.001). Others choose a so that min(Y+a) = 1.

A negative logarithm means how many times to divide by the number. We can have just one divide: Example: What is log₈(0.125) … ? Well, 1 ÷ 8 = 0.125, So log₈(0.125) = −1.

This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level. Closed 6 years ago. In complex analysis I came across three types of logarithms namely Ln, log and Log.

Negative logarithm: It means the number of times we divide 1 by the base to achieve the log value. The negative of log_Y (x) is _YLog (1 / x).

The logarithm of 1 always equals 0. Any number can serve as b, the base.

Hence Logarithm is defined only positive real numbers. From the definition it is clear that the logarithm of a number has no meaning if the base is not mentioned. 2. The above examples shows that the logarithm of a (positive) real number may be negative, zero or positive.

Logarithm Base Properties

• Product rule: a^M. a^N=a. ^M+N
• Quotient rule: a^M/a^N = a. ^M-n
• Power of a Power: (a^M)^N = a. ^Mn

The properties of log are Used to expand a single logarithm into multiple logarithms (or) compress multiple logarithms into a single logarithm. A logarithm is just another way of writing exponents. Thus, the properties of logarithms are derived from the properties of exponents.

The difference between log and ln is that Log is defined for base 10 and ln is denoted for base e. For example, log of base 2 is represented as log₂ And log of base e, i.e. log_E = ln (natural log).

The outside function is ln x, and we know that To be in the domain of ln x, x must be a positive number.

Value of Log 1 to 10 for Log Base 10

Value of Log 1 to 10 for Log Base 10

Negative Log FAQ

In most cases, the terms negative log and antilog are used interchangeably.

Negative Log FAQ

In most cases, the terms negative log and antilog are used interchangeably.