Log Notes
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Mth 120 4.3 4.4 Notes Logarithmic Functions and graphs -
inverse of an exponential function the inverse of x = by is given by y = f(x) = log b x b > 0 and b ≠ 1 Domain: ( 0, ∞ ) Range: ( − ∞, ∞ )
Converting between exponential and logarithmic Find y in each equation: 1 =y 25
a) log 3 9 = y
b) log 5
c) log d 36 = 2
d) log 8 d = −
1 3
Common logarithms (base 10) calculator e) Solve:
log x = 1.87737
Natural logarithms (base e) calculator Use a calculator to find f) ln 3.14
1 g) ln log 3
h) Solve: ln x = 1.9344 Practice 4.3 #17, 27, 33, 39, 49, 57, 61, 81, 91, 97, 105, 111, 116 Applications of Logarithmic Functions Practice 4.4 #7, 11, 13, 15, 17, 19, 23, 25, 27
inverse of an exponential function the inverse of x = by is given by y = f(x) = log b x b > 0 and b ≠ 1 Domain: ( 0, ∞ ) Range: ( − ∞, ∞ )
Converting between exponential and logarithmic Find y in each equation: 1 =y 25
a) log 3 9 = y
b) log 5
c) log d 36 = 2
d) log 8 d = −
1 3
Common logarithms (base 10) calculator e) Solve:
log x = 1.87737
Natural logarithms (base e) calculator Use a calculator to find f) ln 3.14
1 g) ln log 3
h) Solve: ln x = 1.9344 Practice 4.3 #17, 27, 33, 39, 49, 57, 61, 81, 91, 97, 105, 111, 116 Applications of Logarithmic Functions Practice 4.4 #7, 11, 13, 15, 17, 19, 23, 25, 27
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