# How do you find the log of less than 1?

## How do you find the log of less than 1?

General procedure for determining logarithms of numbers less than 1: Determine the mantissa of the number as if it were between 1 and 10, using your L scale. Then subtract the characteristic for the number of places the decimal point of your actual number is to the left of the whole single digit number.

### Can you take the log of a number less than 1?

A logarithm tells the power of 10 that number is (for example, log 1000 is 3, because 10^3 is 1000). If you take the log of a number less than 1, you would have to have a decimal number because only a decimal, fraction, or negative can produce a number smaller than the original.

What is the natural log of a number less than 1?

The natural logarithm of any number less than 1 is a negative number. For example, the natural logarithm of 0.5 is −0.693147, or e−0.693147=0.5.

How do you find the value of log 1?

As we know, any number raised to the power 0 is equal to 1. Thus, 10 raised to the power 0 makes the above expression true. This will be a condition for all the base value of log, where the base raised to the power 0 will give the answer as 1. Therefore, the value of log 1 is zero.

## How do you calculate antilog and log?

Logarithmic Laws and Properties log b x y = p + q = log b x + log b y. The division of the two numbers is the antilog of the difference of logarithm of the two numbers. The base should be the same for both the numbers. a p = x = b q, and a r = b.

### How do you find the log of a number?

The power to which a base of 10 must be raised to obtain a number is called the common logarithm (log) of the number. The power to which the base e (e = 2.718281828…….)…CALCULATIONS INVOLVING LOGARITHMS.

Common Logarithm Natural Logarithm
log = log x1/y = (1/y )log x ln = ln x1/y =(1/y)ln x

How do you find the log of a decimal number greater than 1?

The characteristic of the logarithm of a number greater than 1 is positive and is one less than the number of digits in the integral part of the number. (ii) To find the characteristic of the logarithm of a number lying between 0 and 1: Since, log . 1 = -1 and log 1 = 0, hence the common logarithm of a number between .

What is log of a number?

A logarithm is the power to which a number must be raised in order to get some other number (see Section 3 of this Math Review for more about exponents). For example, the base ten logarithm of 100 is 2, because ten raised to the power of two is 100: log 100 = 2. because. 102 = 100.

## What is the value of log 1 *?

0
log 1 = 0 means that the logarithm of 1 is always zero, no matter what the base of the logarithm is. This is because any number raised to 0 equals 1. Therefore, ln 1 = 0 also.