1. logs(x+ 4) = logs (2x-4) %3D

Linear Algebra: A Modern Introduction
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Chapter6: Vector Spaces
Section6.7: Applications
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an article from the new yorker states that the strongest earthquake that can be caused by the san andreas fault
grows to 12.000 after 90 minutes.
an exponential model fit) A representing the
after 3 hours.
on.
tes. (a) Find A and k, and (b) use the model to determine the
(a) It is given that f(0) = 5.000 and f(90) 12,000
Thus, f(0) = Ae) = A =5,000.
Also, f(90) = 5,000e(0) 12,000 Ih e0k
Take the In of both sides to obtain In eok In 90k = In k 0.00973
The exponential model is f(t) = 5,000e00973",
(b) 3 hours = 180 minutes: f(180) = 5,000e0.00978(180) 28,813 bacteria
TEST YOURSELF
Find the value/s of x in the following equations/inequalities.
1. logs(x + 4) = logs (2x-4)
2. log2(3x+5) 2 log:(x-9)
3. (log2 x)² - 4 0
4. log x+ log(x-3) s log 10
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.
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?
5. An article from the New Yorker 10 states that the strongest earthquake that can be caused by the
Transcribed Image Text:grows to 12.000 after 90 minutes. an exponential model fit) A representing the after 3 hours. on. tes. (a) Find A and k, and (b) use the model to determine the (a) It is given that f(0) = 5.000 and f(90) 12,000 Thus, f(0) = Ae) = A =5,000. Also, f(90) = 5,000e(0) 12,000 Ih e0k Take the In of both sides to obtain In eok In 90k = In k 0.00973 The exponential model is f(t) = 5,000e00973", (b) 3 hours = 180 minutes: f(180) = 5,000e0.00978(180) 28,813 bacteria TEST YOURSELF Find the value/s of x in the following equations/inequalities. 1. logs(x + 4) = logs (2x-4) 2. log2(3x+5) 2 log:(x-9) 3. (log2 x)² - 4 0 4. log x+ log(x-3) s log 10 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. 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? 5. An article from the New Yorker 10 states that the strongest earthquake that can be caused by the
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