Theory Of Logarithm

Teacher

Ademy

There is no question in Logarthm that you will not be able to solve after learning this topic

Theory Of Logarithm is logarithm without mathematical table

What you’ll learn

Mastering these rules of Logarithm

Rule 1 – Product law : log(A x B) = log A + log B
Rule 2- Quotient law : log ( A ⁄ B) = log A – log B
Rule 3 : Power law : log₁₀ A^x = x log₁₀ A
Rule 4 : Logarithm to its own base: log_a a = 1
Rule 5: Logarithm of 1 : the logarithm of 1 to any base will always zero log₁₀ 1 = 0
Rule 6: Logarithm of 0: in this case, the logarithm of 0 to any base is undefined log₁₀ o =∞, log₃ 0 = ∞
Rule 7: Power of base: log_b³ A = 1/3 log_b A
Rule 8: Reciprocal law : log_ba = 1/ log_ab
Rule 9: Root law : log_a M^1/y = 1/y log_a M
Rule 10: Change of base: log_a M = log 10^M/ log 10^a
Rule 11: Fractional Power law log_a M^x/y = x ⁄ y log_a M

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