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Solve for the value of x. 1. 5*+1 = 52x-3 2. 73x-2 = 7-2x+8 3. 43x = 22x-8 4. 35x-4 = 92x-3 8x+1 = 22x+3 6. 3x+1 1 %3D 81 II 5.

Solve for the value of x. 1. 5*+1 = 52x-3 2. 73x-2 = 7-2x+8 3. 43x = 22x-8 4. 35x-4 = 92x-3 8x+1 = 22x+3 6. 3x+1 1 %3D 81 II 5.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 78RE
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1.3 SECONDARY MATH III // MODULE 1 FUNCTIONS AND INVERSES - Period Date Name READY, SET, GO! READY Topic: Solving exponential equations. Solve for the value of x. 73x-2 = 7-2x+8 3. 43x = 22x-8 2. 1. 5x+1 = 52x-3 5. 8*+1 = 22x+3 6. 3*+1 = 1 4. 35x-4 = 92x-3 81 %3D SET Topic: Exploring the inverse of an exponential function Time (hours) Height (feet) In the fairy tale Jack and the Beanstalk, Jack plants a magic bean before he goes to bed. In the morning Jack discovers a giant beanstalk that has grown so large, it disappears into the clouds. 1 3 1.5 5.2 9. But here is the part of the story you never heard. Written on the bag containing the magic beans was this note. 2.5 15.6 3 27 3.5 46.8 Plant a magic bean in rich soil just as the sun is setting. Do not look at the plant site for 10 hours. (This is part of the magic.) After the bean has been in the ground for 1 hour, the growth of the sprout can be modeled by the func tion b(t) = 3°. (b in feet and t in hours) 4 81 4.5 140.3 243 5.5 420.9 %3D 6. 729 6.5 1,262.7 2,187 3,788 6,561 11,364 19,683 34,092 59,049 Jack was a good math student, so although he never looked at his beanstalk during the night, he used the function to calculate how tall it should be as it grew. The table on the right shows the calculations he made every half hour. 7.5 8. 8.5 9. Hence, Jack was not surprised when, in the morning, he saw that the top of the beanstalk had disappeared into the clouds. 9.5 10
Transcribed Image Text:1.3 SECONDARY MATH III // MODULE 1 FUNCTIONS AND INVERSES - Period Date Name READY, SET, GO! READY Topic: Solving exponential equations. Solve for the value of x. 73x-2 = 7-2x+8 3. 43x = 22x-8 2. 1. 5x+1 = 52x-3 5. 8*+1 = 22x+3 6. 3*+1 = 1 4. 35x-4 = 92x-3 81 %3D SET Topic: Exploring the inverse of an exponential function Time (hours) Height (feet) In the fairy tale Jack and the Beanstalk, Jack plants a magic bean before he goes to bed. In the morning Jack discovers a giant beanstalk that has grown so large, it disappears into the clouds. 1 3 1.5 5.2 9. But here is the part of the story you never heard. Written on the bag containing the magic beans was this note. 2.5 15.6 3 27 3.5 46.8 Plant a magic bean in rich soil just as the sun is setting. Do not look at the plant site for 10 hours. (This is part of the magic.) After the bean has been in the ground for 1 hour, the growth of the sprout can be modeled by the func tion b(t) = 3°. (b in feet and t in hours) 4 81 4.5 140.3 243 5.5 420.9 %3D 6. 729 6.5 1,262.7 2,187 3,788 6,561 11,364 19,683 34,092 59,049 Jack was a good math student, so although he never looked at his beanstalk during the night, he used the function to calculate how tall it should be as it grew. The table on the right shows the calculations he made every half hour. 7.5 8. 8.5 9. Hence, Jack was not surprised when, in the morning, he saw that the top of the beanstalk had disappeared into the clouds. 9.5 10
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