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6. Suppose that a fish population t days from now can be modeled by an exponential function P(t) = Ae*. Suppose that the fish population doubled in 90 days. By how much will the fish have multiplied from its initial number after 120 days?

6. Suppose that a fish population t days from now can be modeled by an exponential function P(t) = Ae*. Suppose that the fish population doubled in 90 days. By how much will the fish have multiplied from its initial number after 120 days?

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter5: Exponential And Logarithmic Functions
Section5.2: Applications Of Exponential Functions
Problem 43E
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ANSWER NO 5-8 WITH COMPLETE & UNDERSTANDABLE SOLUTIONS 

Find the value/s of x in the following equations/inequalities. 1. log3 (x+ 4) = log3(2x- 4) 2. log2(3x +5) 2 log,(x – 9) 3. (log2 x)2 - 4 = 0 4. log x + log(x - 3)< log 10 5. An article from the New Yorker" states that the strongest earthquake that can be caused by the San Andreas fault has a magnitude of 8.2 on the Richter scale. It also states that this is only 6% as strong as the 2011 Japan earthquake, with a magnitude of 9.0. Verify this information. 10 6. Suppose that a fish population t days from now can be modeled by an exponential function P(t) = Ae". Suppose that the fish population doubled in 90 days. By how much will the fish have multiplied from its initial number after 120 days? 7. Suppose that l, and I denote the light intensity before and after going through a material. Then according to Beer-Lambert's law", x = -In ), where k is a constant that depends on the material. If k = 0.03 and lo = 15 lumens, find the line intensity at a depth of 30 feet. %3D %3D 8. The dapdap tree in the Philippines is prone to wasp infestation. Suppose that the percent P of defoliation is approximated by P = 300 where x is the number %3D 3+17e-0.0625x of egg masses in thousands. If the percent of defoliation is 20%, approximately how many egg masses are there?
Transcribed Image Text:Find the value/s of x in the following equations/inequalities. 1. log3 (x+ 4) = log3(2x- 4) 2. log2(3x +5) 2 log,(x – 9) 3. (log2 x)2 - 4 = 0 4. log x + log(x - 3)< log 10 5. An article from the New Yorker" states that the strongest earthquake that can be caused by the San Andreas fault has a magnitude of 8.2 on the Richter scale. It also states that this is only 6% as strong as the 2011 Japan earthquake, with a magnitude of 9.0. Verify this information. 10 6. Suppose that a fish population t days from now can be modeled by an exponential function P(t) = Ae". Suppose that the fish population doubled in 90 days. By how much will the fish have multiplied from its initial number after 120 days? 7. Suppose that l, and I denote the light intensity before and after going through a material. Then according to Beer-Lambert's law", x = -In ), where k is a constant that depends on the material. If k = 0.03 and lo = 15 lumens, find the line intensity at a depth of 30 feet. %3D %3D 8. The dapdap tree in the Philippines is prone to wasp infestation. Suppose that the percent P of defoliation is approximated by P = 300 where x is the number %3D 3+17e-0.0625x of egg masses in thousands. If the percent of defoliation is 20%, approximately how many egg masses are there?
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