Basics of Logarithm and Anti logarithm.
With proper explanation and example.
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Answers
Answer :-
So as it is asked for the Basics of Logarithm and Antilog .
♦ First of all
◾What is Logarithm ?
→ Logarithm is the representation of higher power in short values in order to solve the questions easily.
eg. We can write 2³ as log₂⁸ = 3
◾ What is Antilog ?
→It is the reverse function of Logarithm
eg. Antilog of log₂⁸ = 3
or 3 = log₂⁸
◾Now Some basics of Logarithm .
⏩ Representation of log
▪️We represent log of any number as .
▪️It is called logarithm of a to the base b .
▪️Where :-
→(i) a > 0
→(ii)b > 0
→ (iii) b ≠ 1
◾Now the value of
◾Addition of log :-
▪️Similarly we can write
◾Subtraction of log :-
▪️Similarly we can write
◾Power of log :-
⏩Case 1 :
▪️Similarly we can write
⏩Case 2 :
▪️Similarly we can write
⏩Case 3 :
▪️Similarly we can write
◾Another results :-
◾Now some values of log with the base 10 :-
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→ We can find out other values from logarithm table .
Here is your answer❤️✌️✌️❤️
♈️✨✨The antilogarithm is the inverse function of a logarithm, so log(b) x = y means that antilog (b) y = x. You write this with exponential notation such that antilog (b) y = x implies by = x.
✨✨✨If log M = x, then M is called the antilogarithm of x and is written as M = antilog x.
For example, if log 39.2 = 1.5933, then antilog 1.5933 = 39.2.
If the logarithmic value of a number be given then the number can be determined from the antilog-table. Antilog-table is similar to log-table; only difference is in the extreme left-hand column which ranges from .00 to .99.
Mathematical properties of logarithms
Logarithms convert multiplication into addition and division into subtraction, and exponentiation into mulitplication:
log(A.B) = log(A) + log(B)
log(A/B) = log(A) - log(B)
log(An) = n.log(A)
log values☯️☯️
log 1 = 0
log 2 = 0.3010
log 3 = 0.4771
log 4 = 0.6020
log 5 = 0.6989
log 6 = 0.7781
log 7 = 0.8450
log 8 = 0.9030
log 9 = 0.9542
log 10 = 1
✍️✍️ please mark it brainlist Answer..