Lesson 32 Practice

  1. Change to Natural Logarithms. a) \frac {ln12}{ln3} = 2.262 b) \frac {ln17}{ln7} = 1.456

  2. Change to Base-10. a) log 10 200 / log10 3 = 4.823 b) log10 (4/25) / log10 7 = -0.942

  3. Evaluating Logarithmic Expressions. a) 3.907 b) -0.208 c) -0.558 d) 1.077

  4. Expanding Logarithmic Expressions I. a) log6 3 + log6 n b) lnx - ln4 c) 3 log8 x + 3 log8 y

  5. Natural Logs of 3 and 5. a) ln3 + ln5 b) ln3 - ln5 c) 2ln5 + ln3

  6. Challenge: Expanding Logarithmic Expressions II. a) 1 + log2 y + \frac {1}{2} log2 (y-3) b) 2lnx - lny - ln4

  7. Condensing Logarithmic Expressions I. a) log4 \frac {x}{5} b) log10 yx 2 c) ln \sqrt{3x}(2x+1)

  8. Challenge: Condensing Logarithmic Expressions II. a) log2 \frac {(x+2)^3(x-1)^4}{x^3} b) ln \frac {y^5}{2x(x+1)}

  9. No More Fractions. a) - log 5 14 b) - log 2 400