Find the value of y from log, y = - O-3 -/3 -/3

Q: Find the x intercept of the graph of y = 2 log( √(x - 1) - 2)

A: To determine the x- intercept of the graph of the function.

Q: Show that loga 12x + 2x - 12 + loga 12x - 2x - 12 = 0.

A: given :                      loga (12x+2x-12) + loga(12x-2x-12) = 0 The product rule for logarithms…

Q: Choose the graph of y = log,(z) %3D - -7 -6 -3 4 -2 1. -7 24 -2 -2 -7

A: y=log4(x)

Q: Solve log,x + log2(x – 2) = 3, for x > 2. %3D

A: According to guidline, 1st are solved

Q: 2 Find x so that log10 x = log, 10

A:

Q: Find y' of y = log5(4x + 3)

A: Given that

Q: Express x in term of y if: log,xy =2 +2log,x -3log,y

A: Given that:  log4xy=2+2log4x-3log4y We have to express x in the form of y.

Q: Which function will have the fastest decrease in they-values?A. y = -1/3 logx 8. y =-2 logxC. y…

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Q: Find the value of x. logx 1/1000 = −3

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Q: Find the function of the form y = log,(x) whose graph is given. %3D y = y 2- -가 1/4,-1) 2.

A: Given: Provided graph is:

Q: 5. Given that log 2 = x and log 3 = y, express log /54 in terms of x and y.

A:

Q: Express log (x²/y°) + 4 log y - 6 log Vxy logarithm. as one

A: Given expression is,  logx2y3+4logy-6logxy. It is simplified as follows: logx2y3+4logy-6logxy Apply…

Q: Differentiate: 4. y = 6* log7 x

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Q: Differentiate f (x) = log6 (x26"

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Q: y = (cos(x²))* -2 Co:

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Q: Express log (x + 1)³ – 2log (x + 1) + 3 log (x – 1)²– log (x³ – 1) as a single logarithm

A: Logarithmic equation: A logarithmic equation is an equation involving the logarithm of an expression…

Q: Find the value of y:  logy32=5

A: Given, expression

Q: Match the logarithmic function with its graph. I II y y. 1 + 2 III IV y y 1 1 O| 2 Pl 2 f(x) =…

A: This question is about application of graphs

Q: Find the approximate of log 0.077

A: We need to evaluate the approximate value of the following quantity log0.077

Q: =xpress the number sinh in terms of natural logarithms- 84 -

A: Given: sinh-1-1384

Q: Differentiate the function Y = logi5(x° +1)

A: Differentiation of logax is defined as dlogaxdx=1xloga Chain rule of differentiation states that…

Q: Express the quantity as a single logarithm.

A: Given 13lnx+23+12lnx-lnx2+3x+22 The properties of logarithm used here are…

Q: Differentiate f(x) = log, (9 – 10x).

A:

Q: Differentiate: 3. y = log₂ (x¹ - x)

A: y = log9(x4 -x) here logerithmic function is given  dlogax/dx = 1/x(lna) use this formula and chain…

Q: Find all x- and y-intercepts of graph of y = −3+log2 (x2-x+2)

A:

Q: The percentage of adult height attained by a girl who is x years old can be modeled by f(x) = 62 +…

A: Given that the percentage of adult height attained by a girl who is x years old can be modeled by…

Q: Sketch the shifted exponential functions. y=6x -2 and y=6-x -2

A: Sketch the shifted exponential functions of given  1. y=6x -2 2. y=6-x -2

Q: If logx^½64 = 3. Find the value of x

A:

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

A: Given y=xlog6x when x=36

Q: Solve the logarithmic equation for x. log(9 – x) = 2 – log,(-x) 3D2

A: To solve the given logarithmic equation for x.

Q: = log,25 -x=

A:

Q: Use a graphing device to find all solutions of the equation, rounded to two decimal places..³- - x =…

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Q: Express in terms of logarithms of x, y, z, or w.

A: We have to express in terms of logarithms of x, y, z or w: log3xyz We know the properties of…

Q: find y' if y = In (log10 x)

A: Given y = ln(log10x)

Q: How is loga x defined?

A: The logarithmic function y=logax is defined to be equivalent to the exponential equation x=ay. Here,…

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

A:

Q: Differentiate logx 2

A: We have to find the derivative

Q: b- find x for following 1. logx = v2

A:

Q: Differentiate the function.

A: Given: y=2xlog10x To Find: Differentiate the given function. Concept: i. Product…

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: function

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Q: direct

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Q: Differentiate y=3*log*

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Q: log(x-1)=2+2logx 5.

A:

Q: How would you describe log, (2-x) for x=5? Why?

A: Given: log7(2-x)

Q: Differentiate the function y 2x log4(Vx) У' 3

A: Firstly, we use product rule of differentiation which states that (uv)'=u'v+uv'

Q: Differentiate. 10) y = 7X 11) y = 14-X 12) y = log4(2x)

A:

Q: Find x when log,x = 1

A: Given : log2x = 1