The nature and derivative of logarithm represent power, log(a)(b) represents base a, and logarithm * of b represents multiplication sign,/represents the definition of division sign: if a = b (a > 0 and a≠ 1), then n=log(a)(b) Basic property:1. 3 . log(a)(M/N)= log(a)(M)-log(a)(N)； 4.Log (a) (m n) = nlog (a) (m) deduction 1. You don't need to push this. It can be obtained directly from the definition (bringing [n=log(a)(b)] in the definition into a n = b) 2. Mn = m * n is changed by the basic property of 1 (replacing m and n) a [log (a) (Mn)] = a [log (a) (m = a {[log (a) (m)]+[log (a) (n)] because the exponential function is monotonous. Similar to 2, MN=M/N is represented by the basic property 1 (replacing m and N)A[log(A)(M/N)]= A[log(A]. ] = a {[log (a) (m)]-[log (a) (n)] And because the exponential function is monotonous, log (a) (m/n) = log (a) (m)-log (a) (n) 4. Similar to 2, m n = m n is represented by the basic property 1 (instead of m) a [log (a) (m n)] = {a. = a {[log (a) (m)] * n} Because the exponential function is monotonous, The formula of log (a) (m n) = nlog (a) (m) other properties: properties 1: bottoming log(a)(N)=log(b)(N)/log(b)(a) is deduced as follows: n = a [log (a) (n And because n = b [log (b) (n)], b[log(b)(N)]= b {{I don't understand this step or there is e called the base of natural logarithm] log (a n) (b m) = ln (a n)/ln (b n) We can get log (an) from the basic property 4. [log (a)-] Formula 3:Log(a- take the logarithm based on b, Log (b) (b) =1=/log (b) (a) can also be converted into: log(a)(b)*log(b)(a)= 1 trigonometric function and differential product formula sin α+sin β = 2 sin. 2cosα-cosβ =-2sin =>-b ≤ a≤ b | a-b |≥| a | ≤ a | the solution of a quadratic equation-b+√ (B2-4ac)/2a-b-b+√ (B2-4ac)/2a root and 0 Note: The equation has real roots B2-4ac；; 0 sector area formula s= 1/2*l*r cone volume formula V= 1/3*S*H cone volume formula V= 1/3*pi*r2h oblique prism volume V=S'L note: where s' is the straight cross-sectional area, and l is the one with a long cylinder side. V=s*h cylinder V=pi*r2h

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