INTRODUCTORY EXERCISES - Logarithms and Solving Equations

(1) Evaluate.

  1. log 2 64

  2. log 3 1/27

  3. ln 20.09 (approximately)

  4. log 81 9

  5. log 0.3 1

( Click On HINT To Get Some Help , Click On SOLUTION To See The Answers)

(2) Rewrite each expression so there is no logarithm of products, quotients, or powers.

  1. log 5 (x2 + 3)1/2
  2. log 9 (x-1)/x2
  3. ln [2t(3+t)]

( HINT , SOLUTION )

(3) Express as a single logarithm.

  1. log 6 (x+7)-log 6 2x
  2. (1/3) log t + log 45
( HINT , SOLUTION )

(4) Solve each equation.

  1. 3x = 10
  2. log 4 (5x) = 3
  3. log t - log (t+1) = -1
( HINT , SOLUTION )
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