Evaluating a Logarithmic Function InExercises 57–60, use a calculator to evaluatethe function at the given value of x. Roundyour result to three decimal places.Function Value57. f(x) = ln x x = 18.4258. f(x) = 3 ln x x = 0.7459. g(x) = 8 ln x x = √560. g(x) = −ln x x = 12

Q: Graphing a Logarithmic Function Whose Base Is Neither 10 Nor e EXAMPLE 9 Use a graphing utility to…

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Q: S ye-y dy

A: ∫y e-y2 dy Put, y2=t⇒2y=dtdy⇒2y dy=dt⇒y dy=dt2

Q: log (x-4) log (x-4) = 1 4 | -6, 6

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Q: log2 (x − 1) − log2(x + 3) = log2 (1x)

A: We need to solve log2 x − 1 − log2x + 3 = log2 1x. So,               log2 x − 1 − log2x + 3 = log2…

Q: linear approximation of log 99

A: Explained below

Q: Graphing a Logarithmic Function Whose Base Is Neither 10 Nor eUse a graphing utility to graph y =…

A: To graphy=log2x

Q: approximate the logarithm using the properties of logarithms, given log, 2 = 0.3562, log, 3 =…

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Q: Establishing Properties of Logarithms(a) Show that loga 1 = 0. (b) Show that loga a = 1.

A: We know that, from the property of exponents a0=1                                 ⋯⋯1 Also, from the…

Q: Logarithms as anti-derivatives. -3 -dx x(In x)2 Hint: Use the natural log function and substitution.

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Q: 1. A retirement account is opened with an initial deposit of $8,500 and earns 8.12% interest…

A: Since you have posted multiple questions only the first question will be answered. Kindly resubmit…

Q: The graph of a logarithmic function is given. Select the function for the graph from the following…

A: From the graph, the x-intercept is, This point is satisfied by the equations

Q: log₂ (x + 4) - log2 x = log₂ (x + 2)

A: To solve the following equation.log2x+4-log2 x=log2x+2

Q: See attachment

A: Note that, the continuous exponential growth model is,

Q: Find the domain, vertical asymptote, and x-intercept of the logarithmic function. (Enter your domain…

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Q: Using properties of logarithmic to condense the logarithm of Log y + 8 log z

A: Given query is to condense the logarithmic expression.

Q: The loudness L(x), measured in decibels, of a sound of intensity x, measured in watts per square…

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Q: 57–58 ■ Graphing Logarithmic Functions Match the logarithmic function with one of the graphs labeled…

A: 57. Given logarithmic equation is: fx=2+ln x The graph of this equation is given below:

Q: Sketch the logarithmic function h(x) = - , log 3 (x + 3) – 1. Find two points on the 2 graph, and…

A: To plot the logarithmic function hx=−12log3x+3−1 . Find domain, two points and vertical asymptote of…

Q: 90 The logistic growth function P(x)= 1+271 -0.122x models the percentage, P(x), of Americans who…

A: Given :Px=901+271e-0.122x

Q: Topic: Logarithmic and Exponential  functions  Simplify e2ln5…

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Q: Solve the logarithmic equation algebraically. Approximate the result to three decimal places. (If…

A: Solution: The objective is to solve the given logarithmic equation

Q: Natural Logarithmic Functions Explain why thederivatives of f (x) = ln 2x and g(x) = ln 3x are the…

A: Natural Logarithmic Functions Explain why the derivatives of f (x) = ln 2x and g(x) = ln 3x are the…

Q: Using Properties of Exponential and Logarithm Functions Simplify ln( 1/e2 )

A: The logarithm is a power of a number that must be raised to get another number  An exponent in…

Q: Use the properties of natural logarithms to simplify the function. f(x) = In(x³) – In(x) f(x)

A: Given : f(x) = ln(x3) - ln(x)

Q: 19 log9 x2 6.

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Q: Finding Logarithmic Functions Find the function of the form y = logax whose graph is given.

A: Here we have to find Logarithmic Functions.

Q: Use the properties of natural logarithms to simplify the function. f(x) = ln(e4x) − 2x − ln(1)

A: Use the properties of natural logarithms to simplify the function. f(x) = ln(e4x) − 2x − ln(1)

Q: Find the domain, vertical asymptote, and x-intercept of the logarithmic function. (Enter your domain…

A: y=log4x-2 Now domain is the set of all values of x for which  x-2>0⇒x>2⇒x∈2, ∞ Therefore…

Q: ns on. 2, log 2x2

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Q: 2 ln x + ln (x+1)- 1/2ln (x^2+1). Compress the logarithmic expression.  PRE-CALCULUS HW question..…

A: The given expression,   2 lnx+lnx+1-12lnx2+1

Q: calculator to evaluate the logarithm. Round your result to three decimal places. Evaluated…

A: Topic - logarithm

Q: Pareto's law Pareto's law for capitalist countries states that the relationship between annual…

A: To solve the given equation for y

Q: x3-3x2+5 dx (x-3)

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Q: loga (x- 7) +loga (x - 2) = loga (x - 4) + loga(x + 12) %3D

A: Given an equation of logarithmic functions in terms of 'x' variable with base 'a'.  We need to find…

Q: Exponential and logarithmic functions are examples of nonalgebraic functions, also called ________…

A: Given:Exponential and logarithmic functions are examples of non algebraic functions ____________…

Q: Use the properties of natural logarithms to simplify the function. f(x) = ln(x/4)+ln(4)

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Q: Graphs of Logarithmic Functions Formulas for the Graphs 5- a. f(x) = – log,(z) 4- b. f(æ) = log,(x)…

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Q: 49–52 ■ Graphing Logarithmic Functions Sketch the graph ofthe function by plotting points.

A: Given function is: fx=log3 x The table of value of x and f(x) are given below: x f(x) 1 0 3 1…

Q: Find the domain of the logarithmic function. f(x) = ln (2 - x)

A: Concept - Domain for ln(f(x)) Then f(x) should be greater than 0.

Q: Graphs of logarithmic functions The following figure shows the graphs of y = log2 x, y = log4 x, and…

A: The logarithmic function y=logax is spoken as "the log, base a, of x."  Now, The logarithmic…

Q: (x+6) dx (x+2)2

A: To integrate: ∫x+6x+22dx Solution: We will use partial fraction decomposition to decompose the…

Q: Use the properties of natural logarithms to simplify the function. f(x) = ln(x5) − ln x

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Q: Use a graphing utility to graph f and g in the same viewing window and determine which is increasing…

A: Given  (a) f(x) = ln x, g(x) = √x (b) f(x) = ln x, g(x) = √ 4 x

Q: Match the formula of the logarithmic function to its graph. Graphs of Logarithmic Functions Formulas…

A: a)

Q: log5(x+3) = 1- log5(x-1)

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Q: log2(x+6)=2-log2(x+3)

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Q: Find the domain, vertical asymptote, and x-intercept of the logarithmic function. (Enter your domain…

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Q: Newton’s Law of Cooling states that the temperature T of an object at any time t can be described by…

A: Newton’s Law of Cooling states that the temperatureT of an object at any time t can be described by…

Q: Solve the logarithmic equation algebraically. Approximate the result to three decimal places. (If…

A: We have to solve the given equation, ln x + ln (x+1) = 6