Use math tables to find log of 0.0234 and what is the anti log of 4.098?
Answers
Step-by-step explanation:
Formula of logarithm
log b (x y) = log b x + log b y
Proof: Let log b x = p such that b p = x … (i), and
log b y = q such that b q = y … (ii)
Multiplying (i), and (ii), we have
b p × b q = x × y = b (p + q) [from the law of indices]
Taking log on both sides, we have,
log b x y = p + q = log b x + log b y.
Anti log - formula
Solution:
Given, antilog (3.3010)
Step 1 : Characteristics part = 3 and mantissa part = 3010
Step 2 : Use antilog table for the row .30 , then the column for 1, you get 2000.
Step 3 : Find the value from mean difference column for the row .30 and column 0, it gives the value 0
Step 4 : Add the values obtained in step 2 and 3 , 2000 + 0 = 2000.
Step 5 : Now insert the decimal place. We know that the characteristic part is 3 and we have to add it with 1. Therefore we get the value 4. Insert the decimal point after 4 places, we get 2000.
Therefore, the solution of the antilog 3.3010 is 2000.