Answer no. 3 and 4 with complete 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 = 04. log x + log(x - 3)< log 105. An article from the New Yorker" states that the strongest earthquake that can becaused by the San Andreas fault has a magnitude of 8.2 on the Richter scale. Italso states that this is only 6% as strong as the 2011 Japan earthquake, with amagnitude of 9.0. Verify this information.106. Suppose that a fish population t days from now can be modeled by an exponentialfunction P(t) = Ae". Suppose that the fish population doubled in 90 days. By howmuch 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 amaterial. Then according to Beer-Lambert's law", x =-In ), where k is aconstant that depends on the material. If k = 0.03 and lo = 15 lumens, find the lineintensity at a depth of 30 feet.%3D%3D8. The dapdap tree in the Philippines is prone to wasp infestation. Suppose that thepercent P of defoliation is approximated by P =300where x is the number%3D3+17e-0.0625xof egg masses in thousands. If the percent of defoliation is 20%, approximatelyhow many egg masses are there?

We can answer question no 3 and 4 as below

Answered: Find the value/s of x in the following…

Find the value/s of x in the following equations/inequalities. 1. log3 (x+ 4) = log3(2x – 4) 2. log,(3x + 5) > log2(x- 9) 3. (log2 x)? – 4 = 0 4. log x+ log(x- 3) < log 10

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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Question

Answer no. 3 and 4 with complete 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?

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