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Calculus Section 5.2 Apply logarithmic functions

Calculus Section 5.2 Apply logarithmic functions. Logarithmic Function log b X = Y means b y = X b is the base, b>0, and b≠0. A logarithmic function is the inverse of an exponential function. Common logarithms have a base of 10 log X = Y means log 10 X =Y

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Calculus Section 5.2 Apply logarithmic functions

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  1. Calculus Section 5.2Apply logarithmic functions Logarithmic Function logbX = Y means by = X b is the base, b>0, and b≠0 A logarithmic function is the inverse of an exponential function. Common logarithms have a base of 10 log X = Y means log10X =Y Natural logarithms have a base of e. ln X = Y means logeX=Y

  2. Write in exponential form. Write in logarithmic form. 25 = 32 e0 = 1 10-3 = .001 log3 9 = 2 log 1000 = 3 ln x = t

  3. Laws of Logarithms • log X + log Y = log(XY) • log X – log Y = log (X/Y) • X log Y = log(Yx) Express as a single logarithm. log 4 + log A – 2 log B ln e5 4 log3 3

  4. Solve the exponential equation. 3e2x + 2 = 14 2 ln x = 4

  5. Page 273 problem 53

  6. assignment Page 272 Problems 2-32 even,45,46,47,49,51,54,56,58

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