1) Solve 4 4

log ( ) log ( 3) 1x x

2) Solve

5log 3x

3) Expand 3

2log

abc

4) Write as a single log:

6 6 63log 5log 2logx y w

#25 – 57 ODD25. 5 27. ln4 = 1.38629. e-7 = 0.00091 31. 533. 0.1 35. 137. x2 39. 5x+241. x2 43. log570 = 2.75645. ln10 = 2.303 47. -2log50.2 = 2

49. 3-log2565 = -6.142 51. -ln0.6 = 0.511

53. 0 55. ln5 = 1.60957. 2ln108 = 9.364

Circled Problems:79. e-3 = 0.05085. 10389. e2 – 2 = 5.38991. e – 1 = 1.718 and –e – 1 = -3.71893. 295. No real solution

Applications of Logarithms1. Carbon 14 has a half-life of 5760 years. Find the age of a specimen with 24% C-14 relative to living matter.

2. Find the time period required for $7000 invested at 10% compounded semi-annually to grow to $10,000.

3. The value of an investment is given by f(x) =237.50(1.052)x, where x is the number of 6-month periods. Find the number of complete periods until the investment is worth at least $600.

4. Cell population doubles every 3 hours. How long would it take 4 cells to reach a count of 16,384 cells?

5. The number of people in the Denver suburban area has grown exponentially since 1950 according to the equation A(t)=Poekt. In 1950 there were 350,000 people, and in 1960 there were 705,300 people. How many people lived in the Denver suburban area in 1980?

• Solving Applications Using Logarithms Worksheet• You must show all work & solve using logs• Check answers using the calculator.