Question

how to calculate log ??

forexample

find- log6.2

Answer 1

Step 1: Use the rules of exponents to isolate a logarithmic expression (with the same base) on both sides of the equation.

Step 2: Set the arguments equal to each other

Step 3: Solve the resulting equation.

4.To calculate log that ln 10 = 2.302585093 or 2.303 and log 10 = 1. So, the number has to be 2.303

5.To calculate -log6.2

${log_{b} }a=\frac{logc a}{logc b}$

$log_{6}2=\frac{log10 2 }{ log10 6} =\frac{In 2}{In 6} =0.386853$

Answer 2

Answer:

To calculate the log, we use the logarithm table.

In log ,number is considered to have two parts, namely

1. the characteristic part
2. mantissa part

Characteristic part: It is the whole number part of the given number.

Mantissa part: It is the decimal part of the given number.

How to use log table stepwise:

1. Log base 10 is the most common type of log table used.
2. Identify the characteristic part and mantissa part of the given number.

• Example- The given number is 6.2
• 6 is the characteristic part
• 2 is the mantissa part

    3  .In the table check the row corresponding to the characteristic part ie; 60. for the single digit number add 0 to the right of the characteristic part= 60.

   4 .Check the row corresponding to the mantissa part ie; 2.

• The final is the value corresponding to the row 60 and column 2

The log value of 6.2 is 0.792.