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Logarithmic Function

Logarithmic Function. = 100. = 2. Logarithm. The logarithm of a number is the exponent to which another fixed value, the base, must be raised to produce that number. . x = y. read as y is the logarithm of x to the base b. where x > 0, and b > 0, b ≠ 1. Logarithm.

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Logarithmic Function

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  1. Logarithmic Function

  2. = 100 = 2

  3. Logarithm The logarithm of a number is the exponent to which another fixed value, the base, must be raised to produce that number.

  4. x= y read as y is the logarithm of x to the base b where x > 0, and b > 0, b ≠ 1.

  5. Logarithm Logarithms were introduced by John Napier as a means to simplify calculations

  6. The logarithm to the base 10 (b = 10) is called the common logarithm and has many applications in science and engineering, for instance, pH, decibels, and Richter scale.

  7. 2= 100 = x

  8. The logarithm to the base e is called the natural logarithm and is widely used in pure mathematics such as calculus. = 0.69

  9. Components of Logarithm Characteristics is the whole number part of a logarithm Mantissa is the decimal part of a logarithm

  10. Examples: 1. = 1.176 2. = 2.397

  11. Drill: Convert each exponential equation to logarithmic or vice-versa. 3. 64 = 4 1. = 64 2. = 4. 5 =

  12. Paired Seatwork Answer p.329 nos. 1-15 in your notebook

  13. THANK YOU

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