Find the log of 98.2 using log table step by step explanation n how we find log explain in detail Plz answer fast i will mark your answer as brainlist
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Answer:
The logarithmic function is defined as an inverse function to exponentiation. The logarithmic function is stated as follows
For x, a > 0, and a≠1,
y= loga x, if x = ay
Then the logarithmic function is written as:
f(x) = loga x
The most common bases used in logarithmic functions are base e and base 10. The log function with base 10 is called the common logarithmic function and it is denoted by log10 or simply log.
f(x) = log10
The log function to the base e is called the natural logarithmic function and it is denoted by loge.
f(x) = loge x
To find the logarithm of a number, we can use the logarithm table instead of using a mere calculation. Before finding the logarithm of a number, we should know about the characteristic part and mantissa part of a given number
Characteristic Part – The whole part of a number is called the characteristic part. The characteristic of any number greater than one is positive, and if it is one less than the number of digits to the left of the decimal point in a given number. If the number is less than one, the characteristic is negative and is one more than the number of zeros to the right of the decimal point.
Mantissa Part – The decimal part of the logarithm number is said to be the mantissa part and it should always be a positive value. If the mantissa part is in a negative value, then convert into the positive value.
Logarithmic Table