Math, asked by lingam29, 1 year ago

Please help me i have a test.. what are the 12 formulas of logarithms.. ​

Answers

Answered by almasfj
1

Answer:Logarithms are the opposite phenomena of exponential like subtraction is the inverse of addition process, and division is the opposite phenomena of multiplication. Logs “undo” exponentials.

Step-by-step explanation:Trivial Identities

logb(1)=0 Since, b0=1;b>0 logb(b)=1 Since, b1=b

Basic Logarithm Formulas

logb(xy)=logb(x)+logb(y)

logb(xy)=logb(x)–logb(y)

logb(xd)=dlogb(x)

logb(x−−√y)=logb(x)y

clogb(x)+dlogb(y)=logb(xcyd)

Changing the Base

logba=logd(a)logd(b)

Addition & Subtraction

logb(a+c)=logba+logb(1+ca)

logb(a−c)=logba+logb(1–ca)

Exponents

xlog(log(x))log(x)=log(x)

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