Find the equation of the line tangent to the graph of y when x 36. %3D log

Q: Find the function of the form y = loga(x) whose graph is given. y = y 2| 1 X 1 4 -1 (1/4, -1) -2 3.…

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Q: Express the given quantity as a single logarithm.  ln ( a+b)  +  ln (a- b) - 2 ln c

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Q: Q5. (Log,3)= a); xin & Cost (1 ²)dt

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Q: Find the largest value of x that satisfies: loge (2) – log,(r + 1) = 6

A: Use the properties of logarithmic function, to rewrite the given equation.…

Q: Find y^1 if y = log(cot x)

A: Given y = log(cot x)

Q: dy Find by first using algebraic properties of the natural logarithm da function if y +2) (4) dy da

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Q: メリメニ+5 (xtw) 2. 713

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Q: x*dx + y C x-) dy =0

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Q: dx 1. х2 — 1

A: Given: Let I=∫xx2-1 dx To Find: To evaluate the given integration.

Q: use logarith mic diffavehtiation to find y) Sinx

A: Given, y=cos2xsinx To find y'.

Q: Graph y = loga 2 as a function of a over the interval 0 < a≤ 4.

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Q: Find x in the following equation. log x + log(x-2) = log15 X=

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Q: Find the function of the form y = loga(x) whose graph is given. У 3 4 -1(1/6, –1) 2.

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Q: condense to a single logarithm with a leading cofficient of 1  In(3)+In (x) + In (y)

A: Given query is to condense to a singl logarithm with a leading cofficient of 1.

Q: Write a logarithmic equation corresponding to the graph shown. Use y = log; (x) as the parent…

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Q: Approximate x to three significant figures.

A: Logarithm is the exponent or power to which a base must be raised to get a given number. For example…

Q: Find the function of the form y = loga(x) whose graph is given. y = y 2 1 1 3 -1 (1/6, –1) -2P

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Q: how is  (a^loga(y))^c the same as y^c? (image)

A: Given that a statement  ac.loga(y)=alogayc=yc Prove the given statement.   The formula used are the…

Q: Find and simplify whenever possible. dx y = log10(x² + 1)² ||

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Q: Express the given quantity as a single logarithm. 2)2 In(x 2)7In x - In(x2 +

A: Let the given expression is:

Q: Determine y′(x) if y(x)=(4x^3+6)^sinx.  Enter an exact answer in terms of a natural logarithm.

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Q: Use logarithmic differentiation to determine y' for the equation y = V(4x – 5)(x – 3)(2x + 5). Write…

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Q: ( 3x+log; x dx = ? ||

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Q: Condense the into a following (b) Single logarithm. 2 In (x+1) +3 InCy)-Ź Incx)

A: Condensing the expression to a single logarithmic value

Q: Find the function of the form y = loga x whose graph is given.

A: A logarithm function of the form logax has the property that loga1=0. This is because a0=1. For this…

Q: 2 log , x + 12log, y

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Q: Write an equation for the transformed logarithm shown below f(x) - to

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Q: Find the equation of the line (l) illustrated in the figure above, given that f(x)=10x and the point…

A: Explanation of the answer is as follows

Q: dy =Log. Loc

A: Using logarithmic property we can solve this problem.

Q: Find dg Using Logarithmic differentation y =3 2x +1

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Q: loga (M/N ) = _________ - ____________ .

A: We know Division property of logarithm is, when we divide two values with same base, we subtract the…

Q: To sketch the graph of the function, first replace h(x) with y, then rewrite the logarithmic…

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Q: E. Sketch the graph of the following logarithmic functions. 3. f (x ) = In(2r + 4)

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Q: State the domain and the range for Y = log10(x)

A: We use the definition of loga(x), to find domain and range of Y=log10(x).

Q: Use technology to find points and then graph the function y = log, (-x+2) – 5, following the…

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Q: Find x and express your answer in terms of natural logarithms. e 3X = 6

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Q: Find the graph of the function f(x) = log, (r+ 1) +2

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Q: Express the given quantity as a single logarithm. In(a + b) + In(a - b) – 3 In(c)

A: Given  ln(a+b) + ln(a-b) - 3 ln c  = ln [ (a+b)(a-b) ] - 3 ln c   = ln ( [ (a+b)(a-b) ] / c ) ln a +…

Q: Solve for x. (See attached photo)

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Q: Start with the graph of y = ln x. Find an equation of the graph thatresults from shifting down 4,…

A: Given: y = ln x To find: An equation of the graph that results from shifting down 4, right 2 units.

Q: Solve the logarithmic equation for t. ln(at + b) = c if a ≠ 0

A: To solve the given logarithmic equation.

Q: 4 log, x 3 log, Y

A: The given question is from the topic of Logarithm

Q: 12. Determine the y-intercept of the function y=log, (x+81).

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Q: Choose the graph of y = log,(z + 4) %3D Calculator

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Q: Approximate x to three significant figures.

A: The natural base of the logarithmic function is 10. The given equation is solved using the concept:…

Q: g(x) = 3 log 2x (0 < x< 10) %3D

A: Here we make the table value and draw the graph...

Q: 4 log a + y log

A: 4 log a +y  log c To condense the given express we apply logarithmic properties m log (a) = log…

Q: If loga ( a17 y13 A log3 x + Blog3 y then %D A = %3D

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Q: The difference in the noise levels of two sounds is measured in decibels, D, where D = 10 log) (수…

A: This question is based on Substitution of given values.

Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.