1. More Practice Problems Review for Quest 2

2. Solve log 5 2t + log 5 (t – 4) = log 5 48 – log 5 2 log 5 2t(t – 4) = log 5 (48 / 2) 2t(t – 4) = (48 / 2) 2t 2 – 8t =24 2t 2 – 8t – 24 = 0 2(t 2 – 4t – 12) = 0 2(t – 6)(t + 2) = 0 t = -2, t = 6

3. Solve 2 log b x = log b 3 + log b ( x + 6 ) log b x 2 = log b 3( x + 6 ) x 2 = 3( x + 6 ) x 2 = 3x + 18 x 2 – 3x– 18 = 0 (x – 6) (x + 3) = 0 x = 6, x = -3

4. P 402 #39 2 log 3 (y – 2) – log 3 (y – 4) = 2 log 3 (y – 2) 2 = 2 (y – 4) 3 2 = (y – 2) 2 (y – 4) 9 = (y – 2) 2 (y – 4) 9y – 36 = y 2 – 4y + 4 y 2 – 13y + 40 = 0 (y – 5) (y – 8) = 0 Y = 5, 8 (both  )

5. (64) t = (32) 1 – t (2 6 ) t = (2 5 ) 1- t 6 t = 5 – 5t t = 5/11 Solve for the variable.

6. Rewrite exponentially and solve for x. log 5 625 = x 5 x = 625 5 x = 5 4 x = 4

7. (1/27) – 2 p =(3) p+3 (3 - 3 ) – 2 p = (3) p+3 6p = p + 3 5p = 3 p = 3/5

8. 2 – h = (1/8) 1 – h 2 – h = (2 - 3 ) 1 – h -h = - 3 + 3h - 4h = - 3 h = 3/4

9. Find each logarithm. log 7 1 = x 7 x = 1 7 x = 7 0 x = 0

10. Find each logarithm. log 7 7 = x 7 x = 7 7 x = 7 1 x = 1

11. Find each logarithm. log 5  5 = x 5 x = 5 ½ x = ½

12. Solve. 9 = r – 2/3 3 2 = r – 2/3 (3 2 ) -3/2 = (r – 2/3 ) -3/2 3 -3 = r 1/27 = r

13. Solve. Round answers to 3 dec. places 2 x = 5 log2 x = log5 x log2 = log5 x = log5 log2 x = log(5)/log(2) x = 2.322 log 5 3.6 = x 5 x = 3.6 xlog5 = log3.6 x = log3.6 log5 x = log(3.6)/log(5) x =.796

14. Solve. Round answers to 3 dec. places 3 5 – x = 100 log3 5 – x = log100 (5 – x)log3 = log100 5log3-xlog3=log100 5log3-log100= xlog3 (5log(3)-log(100)) /log(3) x =.808 4 3 – x = 7 x +6 log4 3 – x = log7 x +6 (3 – x)log4 = (x + 6)log7 3log4 – xlog4=xlog7 + 6log7 3log4 – 6log7=xlog7 + xlog4 3log4 – 6log7=x(log7 + log4) 3log4 – 6log7 (log7 + log4) (3log4 – 6log7)/(log7 + log4) – 2.256