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Rules for Logarithms

Rules for Logarithms. Rules for Exponents. log(AB) = log(A) + log (B) log (A/B) = log(A) – log(B) log(A P ) = P◦log(A) log(1) = 0. x A ◦ x B = x (A+B) x A /x B = x (A-B) (x A ) B = x (A◦B) x 0 = 1. logarithms and exponentials are inverse functions. log(A)=B means A=10 B

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Rules for Logarithms

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  1. Rules for Logarithms Rules for Exponents log(AB) = log(A) + log (B) log (A/B) = log(A) – log(B) log(AP) = P◦log(A) log(1) = 0 xA ◦ xB = x(A+B) xA/xB = x(A-B) (xA)B = x(A◦B) x0 = 1 logarithms and exponentials are inverse functions log(A)=B means A=10B log(10x) = x 10log(x) = x

  2. Rules for Logarithms Rules for Exponents ln(AB) = ln(A) + ln (B) ln (A/B) = ln(A) – ln(B) ln(AP) = P◦ln(A) ln(1) = 0 xA ◦ xB = x(A+B) xA/xB = x(A-B) (xA)B = x(A◦B) x0 = 1 logarithms and exponentials are inverse functions ln(A)=B means A=eB ln(ex) = x eln(x) = x

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