Answered: 3)]-9. 10. The point (- 23, – 13) is on…

3)]-9. 10. The point (- 23, – 13) is on the transformed function: y = Find the original point on the parent function f(x) = logx. Justify your answer. - 2log - 5(x + P10L 10

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter6: Exponential And Logarithmic Functions

Section6.1: Exponential Functions

Problem 60SE: The formula for the amount A in an investmentaccount with a nominal interest rate r at any timet is...

See similar textbooks

Related questions

Q: 3. Find syz for ys = In(x + yz) – xcoth-1 log ().

A: Given : Let us consider the given value as, ys=ln(x+yz)-xcoth-1logzy

Q: Suppose that log, x = 5 and log, y = 4 compute %3| log, Vx²y³

A: Given

Q: 9. What is the maximum value of |Log z| |2| 1? on

Q: 5. Suppose that A = Use the definition of the exponential to calculate exp(At) in terms of familiar…

Q: Find the exponential function f(x) = ax whose graph is given. %3D f(x) 10 8 6- (-1, 5) 4 -3 -2 -1 2…

Q: 4e3x+3-7=53

A: Hi! You have posted multiple questions. So, we will be solving only the first question as nothing is…

Q: 5. Show that --I+#^) log, (V +1- x) + log, (VF+1+x) = 0 x². x² + 1 + x

A: We know the property of logarithm, logb(a)+logb(c)=logb(ac)

Q: Suppose a new screening tool is developed for prostate cancer in men with much higher sensitivity…

Q: 2) 22x = 20*-1, Leave your answer in the form logg A, where A and B are whole %3D numbers.

A: As per our guidelines, we are allowed to answer only one question. Since you have asked multiple…

Q: Express th equation in exponential form.

Q: 4. Differentiate the function. f(x) = log3 (x In x)

Q: 3. If 19.4 = log (ab) and 7 = log₂ (a), where > 1, then log, (b) equals H 12.4 26 2.8 135.8 ◄ Prev…

A: We want to find the value of logxb.

Q: 2 -3 r- 3 x = %3D (z + 4)- 1 = 24 --- log, 15625 6 X = !!

Q: 6. If 16 and log,(x – y) = 2, calculate the values of x and y algebraically. 1/2

A: Given,12x+y=16and log8x-y=2

Q: 4. Determine the co-ordinates of the point of intersection of the graphs of f(x) = 5(3*) %3D log a…

A: The given curves are f(x) = 5.3x f(x) = 7.2x

Q: 7. If log,w= and log; x+logs y=1 , then what is the value of 13 w3D 7 log, +log, 36x y ?

Q: (-1,}). Find a formula for the exponential function passing through the points and (1,20) f(z) =…

Q: 8. Let a be a positive real number not equal to 1. Determine the solution of the equation log, (2x +…

A: To determine the solution of the given equation.

Q: The tables below shows the values of 2 variables x and y obtained from an expression X 1.659 3.801…

Q: Determine if the given functions are LI or LD by computing the Wronskian : -2x Yi = e*,y2 = e*,y; =…

Q: 2. Express as a single logarithm 4 log, x² + 3 log, ) – log, x X 5

Q: 14. Find the domain of definition of the function 31 Vx + 5 X-5 y = log10 (,2 x² – 10x +24

A: The domain of a function is the set of input or argument values for which the function is real and…

Q: Match each function with its domain. Answers may be used more than once, and some answers may not be…

A: Given. The functions fx = e8-4x y = 8-4x gx = x+18x-4 y = log38-4x We have to find the domain of…

Q: 2. Express the indicated logarithm in terms of a, b and c with the assumptions that log 2 = a, log 3…

A: To express the indicates logarithms in terms of a,b and c.

Q: 3. Rewrite 13Y 874 in its equivalent logarithmic form. [4pts] %3D 4. Consider the polynomial…

Q: 4. Show that the function log(1+ x) lies between functions x - and x for all x > 0. (Hint 2(1+ x)…

A: We will expand log(1+x) by Maclaurin's series. Let f(x) = log(1+x)

Q: 8. Let b be a positive real number not equal to 1. Determine the solution of the equation log, (2z –…

A: See the solution step by step.

Q: 13. Determine whether or not each statement is true or false for all x>0 & y>0; if a false, provide…

A: The solution is :

Q: 6. Which of the following functions grow faster than In x as x→∞? Which grow at the same rate as In…

Q: 2 Show that the following functions are harmonic in x and y: 2 log√x² + y²

Q: 4- If X is an exponential with parameter 1, then 2X is chi-square with 2 degrees of freedom. O True…

Q: Which of the following are equivalent to 5 · log (u-1/6)? Assume u > 0. 1 O log log (u/") 1 log (u")…

Q: Express the following in terms of x without logs or natural logs 1) log100x 2) 1000logx 3)…

Q: Which function rule should be used to transform any (x, y) point from f (z) log z to h (z) = -log…

Q: 6) If u = log (x² + y²), then prove that log (x² CSScanned with CamScanner dydx ôxôy

Q: When you put x =Sp, you find that Exponentialcumdist(s u, p) computes out to the same value no…

Q: 5. Prove if the following function is differentiable y = x loge-*

A: Given that: y=xloge-x

Q: 8) Suppose that the number of bald eagles in the U.S. at any given time is given by P(t) = 50, 000 –…

Q: 14.3. EXERCISES 207 a, y, z > 0. b) log(Vr² - Vy7)

A: The objective is to simplify the given expression

Q: Find the exponential function f(x) = ax whose point is given on the graph: (-1, 1/6)

Q: 2. Which of the following is equivalent to the expression: 2+3 log2 (x + 1) – log (2x – 1)? 2(x+ 1)3…

A: The given expression is: 2+3log2(x+1)-log2(2x-1)

Q: 4- If X is an exponential with parameter 1, then 2X is chi-square with 2 degrees of freedom. O True…

Q: 1. Express the following as a single log 3log xy-log x +log y a) 6log x b) 3log x c) 6log y d) 3log…

Q: B. Express as a single logarithm and, if possible, simplify. 1. log, x + 4 loga y - 3 log, x 6.…

A: According to our company's guidelines I can only answer first three subparts of the question B since…

Q: 3. Find syz for ys = In(x + yz) – xcoth- log ()-

Q: 12) eiven AMUEÍVRTAMA, S C«) X22x<0 2x+1, 0<xL2 a) Evaluate f at x = -1,0, and 5. If not defined,…

Q: Let X1 be exponential with mean 4 and X2 be exponential with mean 6. Assume X1 and X2 are…

Q: 2 log, 64|,B = |** 6 [x +3 = 4 В 10 -4] 4 [m LetA = 4 21 3. 2 -7 5 4 and D =, *,. Find X, if AB" +…

A: To find the value of X.

Question

Unit name: Exponential and logarithmic functions

10. The point (- 23, – 13) is on the transformed function: y
Find the original point on the parent function f(x)
- 2log,„[- 5(x + 3)]-9.
log,x. Justify your answer.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Transcendental Expression$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.

Similar questions

Use the result from the previous exercise to graph the logistic model P(t)=201+4e0.5t along with its inverse on the same axis. What are the intercepts and asymptotes of each function?
The formula for the amount A in an investmentaccount with a nominal interest rate r at any timet is given by A(t)=a(e)rt, where a is the amount ofprincipal initially deposited into an account thatcompounds continuously. Prove that the percentageof interest earned to principal at any time t can becalculated with the formula I(t)=ert1.
Then what would the value of x be if g(x) is less than or equal to 0 and also how do you find the net change in g between x=1 and x=2
Suppose you are climbing a hill whose shape is given by the equation z = 1000 −0.005x^2 −0.01y^2 where x, y,and z are measured in meters, and you are standing at a point with coordinates (60, 40, 966). The positivex−axis points east and the positive y−axis points north.If you walk northwest from point P, will you start to ascend or descend? At what rate? To answer this, do I need to make my function f(x,y) and then take the gradient, or do I need it to be f(x,y,z) and then take the gradient?
The number of daily users for Japan’s Line messaging service (in millions) can be approximated by the function g(x)=53.1+63.1ln(x) corresponds to the first quarter of 2013. Numbering quarters from that date, and assuming the model remains accurate, find the first full quarter in which the number of users exceeded 200 million.
The function f(x)=(1/(x+1))+4 is decreasing on what interval(s)?
find the net change in g between x=0 and x=7
Find the anti-derivative of g'(x)= log1/2(X)
Q3) A set of data is shown to have a linear relationship if transformed intothe function log(y)=2+5x. Transform that relationship back into a directrelationship between x and y. What is the value of y when x = 0.1?
Can we prove that the function (x-t)g(t) is continous given what we know from the problem definition?
a. Find the inverse of the function ƒ(x) = mx, where m is a con-stant different from zero. b. What can you conclude about the inverse of a function y = ƒ(x) whose graph is a line through the origin with a nonzero slope m?
Step 3 of 3: Use R′�′ to determine if R is increasing at p=15�=15. Is your answer consistent with the fact that the demand is inelastic at this p?