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PRECALCULUS I

PRECALCULUS I. PROPERTIES OF LOGARITHMS. Dr. Claude S. Moore Danville Community College. CHANGE OF BASE. for positive real numbers a, b , and x such that a ¹ 1 and b  1. PROPERTIES OF LOGARITHMS. 1. log b (uv) = log b u + log b v. 2. log b (u/v) = log b u - log b v.

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PRECALCULUS I

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  1. PRECALCULUS I PROPERTIES OF LOGARITHMS Dr. Claude S. MooreDanville Community College

  2. CHANGE OF BASE for positive real numbers a, b, and x such that a¹ 1 and b 1.

  3. PROPERTIES OF LOGARITHMS 1. log b (uv) = log b u + log b v. 2. log b (u/v) = log b u - log b v. 3. log b un= n log b u.

  4. PROPERTIES OF NATURAL LOGARITHMS 1. ln (uv) = ln u + ln v. 2. ln (u/v) = ln u - ln v. 3. ln un= n ln u.

  5. EXPMPLE: CHANGE OF BASE

  6. EXAMPLE: EXPAND LOG EXPRESSION

  7. EXAMPLE: CONDENSE LOG EXPRESSIONS

  8. EXAMPLE: Find the exact value of log 8 2 .

  9. LET US WORK EXAMPLES.

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