Help with 1-5 and 9-22

Do you know HOW? Do you UNDERSTAND? Write each expression as a single logarithm. 6. State which property or properties need to be used to write each expression as a single logarithm. 1. log, 2 + log, 8 2. log6 24 - 10g6 4 a. log, 5 + log, 5 b. logs 4 -log 6 Expand each logarithm. 7. Reasoning If log r - 5, what is the value of ? 3. 1083 3 4. log man5 5. log Vx 8. Open-Ended Write log 150 as a sum or difference of two logarithms. Simplify if possible. Practice and Problem-Solving Exercises A Practice Write each expression as a single logarithm. See Problem 1. Guided 9. log2 9 log23 Practice To start, use the Quotient Property log- 9 -log, 3 -log2 of Logarithms. 10. log 7 + log 2 11. 5 log 3 + log 4 12. log 8 - 2 log 6 + log 3 Expand each logarithm. See Problem 2. Guided 13. log & y Practice To start, use the Product Property log r 5 -log + logy of Logarithms. 14. log3 (2x)2 15. logg 7(2x - 3)2 16. log 10m'n Use the Change of Base Formula to evaluate each expression. See Problem 3 17. log2 9 18. log 2 20 19. log- 30 20. logs 10 21. log3 54 22. log, 33 23. Science The concentration of hydrogen ions in household dish See Problem 4. detergent is 10 12. What is the PH level of household dish detergent? B Apply 24. Think About a Plan The loudness in decibels (dB) of a sound is defined as 10 log. where I is the intensity of the sound in watts per square meter (W/m-). ,, the intensity of a barely audible sound, is equal to 10 -W/m . Town regulations require the loudness of construction work not to exceed 100 dB. Suppose a construction team is blasting rock for a roadway. One explosion has an intensity of 1.65 x 1072W/m. Is this explosion in violation of town regulations? . Which physical value do you need to calculate to answer the question? . What values should you use for / and Jo