Solve each equation Write your solutions in exact 1 10x 349

Solve each equation. Write your solutions in exact 1. 10^x = 34,926 3. 3^7=x 5. 3 ln(5x) = 9 7. e^1-8x = 7957 9. 9X = 27 11- 31-x = 1/27 13. 25 = 50e^k7 15. 1000 = 500(1 +.01)^t 17. 5(2)3x = 20 19. log(2x + 5) = 2

Solution

(1) 10^(x) = 34926

Taking log both side

x log (10) = log(34926)

x = 4.54

(3) 3^(7) = x

x = 2187

(5) e^(1-8x) = 7957

Taking log both side

(1-8x)loge = 7957

(1-8x) = 7957/0.4342

(1-8x) = 18324.65

x = (1-18324.65)/8

x = -2290.45

(9) 9^(x) = 27

taking log both side

x log(9) = log(27)

x = 3/2

(11) 3^(1-x) = 1/27

taking log both side

(1-x)log(3) = log(1/27)

(1-x) = -3

x = 4

(17) 5(2)^3x = 20

taking log both side

3x log(5) = log(20)

3x = 1.86

x = 0.620

(19) log(2x+)