(b) A typical mixture of laundry soap and water for wash- ing clothes has a pl of about 11, while black coffee has a pl of about 5. How much greater is the concentra- tion of hydrogen ions in black coffee than in the laundry mixture? 96. Music Theory A music theorist associates the fundamental frequency of a pitch f with a real number defined by p = 69 + 12 log,(f/440). Source: Science. (a) Standard concert pitch for an A is 440 cycles per second. Find the associated value of p. (b) An A one octave higher than standard concert pitch is 880 cycles per second. Find the associated value of p. YOUR TURN ANSWERS 1. log, (1/25) = -2 2. -4 3. 2 log, x - 3 log, y 4. 3.561 5. 2 6. (In 2)/In(3/2) = 1.7095. 7. 1.0253"