In Problems 41-68, solve each exponential equation. Express irrational solutions in exact form and as a decimal rounded to three decimal places. 41. 2*-5 = 8 42. 5* = 25 43. 2" = 10 44. 3* = 14 45. 8* = 1.2 46. 2* = 1.5 47. 5(23r) = 8 48. 0.3(40.2) = 0.2 1-x 49. 31-2* = 4* 50. 2*+1 = 51-2 51. = 71-1 52. = 5* 53. 1.2 = (0.5)* 54. 0.31+* = 1.72*-1 55. 7- = e* 56. e*+3 %3D 12 CHAPTER 5 Exponential and Logarithmic Functions 57. 22 + 2* – 12 = 0 58. 32* + 3* - 2 = 0 59. 32* + 3*+1 - 4 = 0 60. 22 + 2*+2 – 12 = 0 61. 16* + 4*+1 - 3 = 0 62. 9* - 3r+1 + 1 = 0 63. 25* - 85* = -16 64. 36* - 6·6* = -9 65. 3-4 + 4.2* + 8 = 0 66. 2.49 + 11-7 + 5 = 0 67. 4 - 10-4-x = 3 68. 3* - 14-3 = 5

B. Solve the following exponential equations: | 1 1. 23 = 256 1 2. 4* = 1024

Convert the following into exponential equations

2. Rewrite in exponential form logs 2x = 3y

5. Solve the following exponential equation by using common bases. Show your work. Зх-6 1252-x 25

Can you please explain how to find the solution in exponential equation rounded to the nearest tenth?

The halflife of Radium-226 is 1590 years. If a sample contains 500 mg, how many mg will remain after 3000 years ?

Solve log, = (3x + 4) = 2 O 4 2 3

A rectangle initially with dimensions of 16 cm long by 10 cm wide undergoes a change of 5% in its length and 4% in its wide side, start with the formula A=la and then derive it 16 cm 10 cm

COMMUNITY PHARMACY 127th St In F of Marle (212) 926-7500 Fax (212) 426-5900 www.harian.com RHOOD PHARMACY m Southern X o Mail-Ald X W W3Scho X W' Exercise X 10 # of movies Frequency 0 1 Twenty-three randomly selected students were asked the number of movies they watched the previous week. The results are as follows. 2 3 4 4 Number of Movies Watched 9 6 3 Welcom 1 NCC-1701 X + V a. Select the correct histogram of the data, where a value is counted in a class interval if it falls on the left boundary, but not if it falls on the right boundary. ☐