Rewrite in terms of a single log (condense): 4 [15log, (x)+10log, (y)]-7[3log. (x)+ log, (y)] 2.

Q: log,5x _ Calculate the value of "x" if 2" = 20. а. 2 b. 3 C. 4 d. 5 е.

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Q: Express as a single logarithm. 5log,m- log,n

A: The rules one have to use in this question are logam-logan=logamnalogbm=logbma

Q: Use y = log, (2) a %3D

A: Given parent function is: y=log3 x We have find the equation corresponding to the given graph of the…

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 for x (use log where is necessary ) 4sqrt(x)=8

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Q: What is the domain of f(x) = log, (x + 3)?

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Q: Differentiate the function. f(x) = log,(7 – 4x) %3D f'(x) =

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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: Express as a single logarithm. 3log6x + 5log,(x - 6)

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Q: Express the following log expression as a single log with a coefficient 1: -12log5^x+2log5^y=

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Q: Express as a product. 9 log 10y - 9 log 10y

A: The given expression is  log10y-9

Q: What would be the inverse of the function, y = log 3 (x) - 5? O y= 3x+5 O y= 5x+3 O y= 5x-3 O y=…

A: Consider the function  y=log3x−5

Q: Explain why the function y=log, (x-4) doesn't have a y-intercept.

A: The domain is a set of x-values where the function is defined. In other words, the domain is the…

Q: express as one logarithm with a coefficient of 1:3log a/x+log b/y -2log c/z

A: Solution is given below:

Q: . Express as a single logarithm: loga x + loga(x² – 16) – loga7 – log.(x- 4).

A: The given expression is logax+logax2-16-loga7-logax-4. We have to express single logarithm. To solve…

Q: Choose the domain of f(x) = log 3 (x + 2).(a) ( - ∞, ∞ ) (b) (2, ∞ ) (c) ( - 2, ∞ ) (d) (0, ∞ )

A: To find the Domain of : f(x)=log3(x+2) Solution: We know, a logarithmic function  is defined for the…

Q: Vx*+12 In (x+16)/x-3

A: Given,                   lnx4+123x+16x-3=?

Q: Find the y-intercept of the function f(x)=log5 (1-7x²).

A: On solving ,we get

Q: Express as a single logarithm. 2 log 9- log br

A: Dear student as per our rule in one session we can only solve one question. Please post the other…

Q: ewrite as a single log. log,2x+3(loga X- log.y)

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Q: Combine into a single logarithm.

A: 32log2x-y-2log2x2+y2

Q: Expand the logarithm and simplify as much as possible. 3y4 log, () =

A: We have to solve given expression.

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

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Q: If f1x2 = loga x, show that f1AB2 = f1A2 + f1B2.

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Q: The domain of log, (x) is

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Q: x* + y* ди ,showthat ди + y- 3 If u(x,y) =log х+у ду

A: For the given  u(x,y) =log(x4+y4x+y)

Q: Find x using logarithmic rules. 2.6x = 4x+1

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Q: ху Write in terms of x and y: log (x. Vxy

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Q: Write the expression as a single logarithm with a coefficient of 1. In x - (9 In y + In z)

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Q: differentiate the function f(x)=(x+ log3x)2

A: →Use chain rule of differentiation.→dxndx = n xn-1.→dlogaxdx = 1x logea                        = 1x…

Q: Use the One-to-One property to solve for x: log, (x + 2x) = log, (3x + 2).

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Q: Write as a single logarithm: 31n.r + 1 In y - 21n 3

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Q: Express as a single logarithm. 3 log bt- log bS O A. log t° + log s О В. Тoд b Oc. log, (° -s) 3t O…

A: Use the exponent rule of logarithm to write 3 as exponent.

Q: =) Express the new function h(x) log2 in terms of the original function f (x) log, (x).

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Q: Solve for x log, (9x +30x + 25) 8

A: Given  log29x2+30x+25=8 First convert this expression to exponential form The question is of the…

Q: Find the inverse of f ( x)= logx?

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Q: Determine the zero for the function f(x) = log, (2x-7) %3D

A: Using the property of Lograthmic function If , Log bM= N then ,M= bN.

Q: 4 log, x 3 log, Y

A: The given question is from the topic of Logarithm

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

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Q: a) logx5 32=1, then x=  b) 43x+4=18, then x=

A: Use  basic property of logarithmic function

Q: Express as a single logarithm and, if possible, simplify. Inx-7[In (x- 4) + In (x + 4)]

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Q: Write as the natural log of a single expression:(a) 2 ln 5 + 3 ln 4 (b) 5 ln(x1/2) + ln(9x)

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Q: Simplify. Enter the result as a single logarithm with a coefficient of 1. log, (92) + log, (6z?)

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Q: Use the fact that: loga (x) = -3.4, loga (y) = 4.3, and loga (z) = 6.2 to evaluate the following:…

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Q: Expand the logarithimic expression.

A: lnx4+123x+16x-3

Q: Solve for x : log, x = 4

A: Here we use basic logarithmic properties to solve the given equation

Q: Find for the following function: 3- y = log,(x - x) 4- y = In2

A: It is an important part of statistics . It is widely used .

Q: Find x when log,x = 1

A: Given : log2x = 1

Q: Express as a single logarithm and if possible simplify

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Q: Express as a product. log A (y)

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