how to find log value
Answers
Explanation:
Decide on the number you want to find the logarithm of. ...
Decide on your base - in this case, 2.
Find the logarithm with base 10 of number 100. ...
Find the logarithm with base 10 of number 2. ...
Divide these values by one another: lg(100)/lg(2) = 2 / 0.30103 = 6.644 .
Hii pa!! Here is ur ans :
⭕Choose the correct table. To find loga(n), you'll need a loga table. Most log tables are for base-10 logarithms, called "common logs."[2]
Example: log10(31.62) requires a base-10 table.
⭕Find the correct cell. Look for the cell value at the following intersections, ignoring all decimal places:[3]
Row labeled with first two digits of n
Column header with third digit of n
Example: log10(31.62) → row 31, column 6 → cell value 0.4997.
⭕Use smaller chart for precise numbers. Some tables have a smaller set of columns on the right side of the chart. Use these to adjust answer if n has four or more significant digits:
Stay in same row
Find small column header with fourth digit of n
Add this to previous value
Example: log10(31.62) → row 31, small column 2 → cell value 2 → 4997 + 2 = 4999.
⭕Prefix a decimal point. The log table only tells you the portion of your answer after the decimal point. This is called the "mantissa."[4]
Example: Solution so far is ?.4999
⭕ the integer portion. Also called the "characteristic". By trial and error, find integer value of p such that a^{p}<n and a^{{p+1}}>n.
Example: 10^{1}=10<31.62 and 10^{2}=100>31.62. The "characteristic" is 1. The final answer is 1.4999
Note how easy this is for base-10 logs. Just count the digits left of the decimal and subtract one.
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