Logarithms Questions and Answers

Consider the function In 1 72 00 Write a partial sum for the power series which represents this function consisting of the first 5 nonzero terms For example if the series were 3 you would write 1 322 32z 33 3z Also indicate the radius of convergence Partial Sum Radius of Convergence 7

ethane DDT pesticide in Lake Michigan has been declining exponentially for many years In 1971 the DDT concentration was 13 00 ppm parts per million In 1984 the DDT concentration was 2 22 ppm Q1 1 Part a 20 Points Use the data points provided in question 1 to determine the exponential decay function D f t Ce that models the DDT concentration in Lake Michigan in ppm as a function of t years since 1971 Define all variables Include units Round r to four decimal places Show all work Put a box around your answer Upload a PDF of your work in the correct orientation

Use properties of logarithms to solve for x 15 points log y 3 log 2y 2 log y A y 2 1 only B y 2 only C y 1 only D y 1 2 only E y 2 only

Use properties of logarithms to solve for x 15 points 0 log 4x 3 log7 x 2 The value of x is The value of x is A Less than 1 B Between 1 and 2 5 C Between 2 5 and 4 D Between 4 and 5 5 E More than 5 5

Use properties of logarithms to rewrite as a single logarithm in the form log P where P is an algebraic expression 10 points log3 x 3 log3 y 7log3 2 A logs 3x 3y 7 x B log C logs D log 1 3 x 3y 7

Use the definition of the logarithmic function to find x A log5x 0 B logx 25 2 C log3 x 2 D logx 8

Evaluate the logarithmic expression by using the properties of logarithm 1 A log5 54 B logs 125 C log55 1 D logs 125 E logs 5 F 5logs 4

Without using a calculator estimate the value of the following Show your process a log2400 b log350

Solve the logarithmic equation for x Enter your answers as a comma separated list log5 x 8 logs x 8 2 x

Solve the logarithmic equation for x Enter your answers as a comma separated list log21 x 3 log21 x 1 1 x

Use the Laws of Logarithms to expand the expression log x y

Use the Laws of Logarithms to evaluate the expression log3 15 log3 35 log3 63

Use the definition of the logarithmic function to find x Simplify your answer completely a logs X x b log10 x 3 x

Solve the logarithmic equation for x Enter your answers as a comma separated list log x log x 48 2x

Write the equation of a sine or cosine function to describe the graph 3 3 NIW

Find S C 0 1 3 2 z sinh z dz

In Professor Shannon s economics class there are 12 male students Females represent 60 of the class total How many students does Professor Shannon have in his economics class 7 0 17 33 30 None of these

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License plates in a particular state are to consist of 2 digits followed by 3 uppercase letters a How many different license plates can there be in this state if repetition of letters and numbers is permitted b How many different license plates can there be in this state if repetition of letters and numbers is not permitted c How many different license plates can there be in this state if the first and second digits must be odd and repetition of letters and numbers is not permitted d How many different license plates can there be in this state if the first digit cannot be 7 and repetition of letters and numbers is not permitted a There are different possible license plates if repetition of numbers and letters is permitted

Find the area 5 9 in 15 in 10 9 in The area is Simplify your answer Type a whole number or a decimal

Before Thursday s class session please review the following materials see below to deepen your understanding of the main research topic and sub research topics Please include your understanding of the sources below in the group progress report hard copy which is due Thursday before class ends Profe Tamayo Access this documentary No Mas Bebes through the CSUN Library Database https docuseek2 com libproxy csun edu cart product 3190 NO M S BEB S tells the story of Mexican immigrant mothers who sued doctors the state and the U S government after they were sterilized while giving birth at Los Angeles County General Hospital during the 1970s The sterilization of Puerto Rican Women https www youtube com watch v pQPBwrnFsxl WERE PUERTO RICONS Puerto Rico La Operacion Toggle dellain The Sterilization of Puerto Rican

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d The function is given by f x ln 4x 2 where 2 R and r i Find an expression for x in its simplest form ii State the range of f z iii Solve the equation z 1

Question 3 Apply the principle of mathematical induction to prove that a 61 7 5 for n 1 b i i 1 i 2 n n 1 n 2 n 3 4 i 1 TL for n 1

D C C is a positive subformula of estion 11 CA D E F G C A F G but not vice versa is a positive subformula of one option fro 2 points Fill in the blank one option from 2 points but not vice versa

Any line in the vector space R is a subspace of R O True O False

Solve for n 7 200 40 300 n Round to two decimal places

Choose the correct logarithmic forms for the following equations a 54 625 o log 4 5 625 o log 4 625 5 o log 625 4 o log 5 625 4 b 6 216 O log 216 3 O log6 216 3 o log 3 216 6 o log 3 6 216

Evaluate 8 log 4 64 7

3 lf f x 2xlnx then f 1 4 a O 2 bo e co

If f x xtanx then f x O a O b 1 O c 1 O d T

The population of a certain state from 2000 to 2010 was recorded During that decade the state grew from 20 8 million in 2000 to 25 9 million in 2010 Use an exponential growth model to predict th population of the state in 2035 SZOD Let yt be the population of the state in millions t years after the year 2000 Give the exponential growth function for this state s population Type an expression Round coefficients to three decimal places as needed