15. log(x+9) + legx 1

Q: (a) log,(5x – 1) + 6 = 9 (b) 163x+1 = (4)*-1 %3D (c) In(x + 6) = In(11) – In(x – 4)

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Q: 4 If log,(x + 1) – log,x = 2, then x equals: F H

A: It is logarithms problem.

Q: If the base  b of the exponential function is a real number between zero and 1  (0 < b < 1 ) , then…

A: Exponential functions have the form f(x) = bx, where b &gt; 0 and b ≠ 1. Just as in any exponential…

Q: a- Simply the following 1 1. Inx – In(x2 – 1) + 2ln(x + 3) - 2. 5log2 + log3 – log8 b- find x for…

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

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Q: If log, 2 = 3, log2 y = 4, and log, z = 5, what is the numerical value of log2

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

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Q: 8. If logax = loga6, then x = M 9. logaN In 8 10. True or False. = 2. In 4

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Q: determine the nature of functon for even and odd Ax) = log(x+ Vx² +1) ?+1)

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Q: The union of left ray topo log y and right ray top log y on real numbers is usual topo log y True…

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Q: 7. If (0.2)* = 2 and log 2 = 0.3010, then the value of x to the nearest tenth is:

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Q: 2. Find y' if y = 7* (log4 x)⁹.

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Q: 19. If logx y + log, x = 2.9 and xy = 128, find x + y. 24 O 20V2 O 36 O 34V 2 O 66

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Q: 4. Expand into sums and/or differences of logarithms: (a) log, y

A: To expand into sums and /or differences of the given logarithm.logx xyz

Q: Differentiate with respect to x:* y = log, (x) :() 2+ In x - In x Option 2 Option 3 2 - In x 1+ In x…

A: As per guidelines we can answer only one question at a time so if you need more answers kindly…

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

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Q: at any point h (1, 1) is logx – x

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Q: 4. The domain of the logarithmic function f(x) = log, x is

A: fx=logax

Q: 11) 2 log(2)-4log(b)

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

A: This is a problem related to logarithm properties. Based on the general formula we can answer the…

Q: Sketch on graph a) y = 2x-3+ 3  b) y = log2 (x – 4)

A: a)

Q: a) In (x – 7) = 6 (b) In (x + 9) + In (x- 9) = 1 (c) log sx - log 52x = 2

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Q: If logx = 4 and logy =7, then the value of -log is %3D xy

A: Given, logx = 4  and  logy = 7 We have to find the value of  -log1xy.

Q: (b) 2log(x – 3) – log(x – 1) = 0

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Q: 4. What is b if (log, x)' :? Зх

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Q: Simply the following 1 1.5 Inx – In(x² – 1) + 2ln(x + 3) 2. 5log2 + log3 – log8 -

A: As per our guidelines we are supposed to answer only one question. Kindly repost other question as…

Q: 11. Write as a single logarithm: 1 log2 X +3 log2 Y - 3 ·log2 Z

A: To write: The expression 13log2X+3log2Y-52log2Z in single logarithm. Formula used: Logarithmic rule:…

Q: 19. If log,2 = x and log34 =y, then log372, in terms of x and y, is equal to O 2x +2y O 9x +9y O 9xy…

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Q: 17. Find the value of x without the use of calculator 1 log, 3. 4

A: Given:

Q: 7. Use properties of logarithm to expand In (y³z²Vx – 1)

A: Property of logarithm

Q: 2) y= log, (-4x +6)+ 4 2 +6 1) у3D 4) y= In (4x – 10) – 6 e+10 3) y =

A: SOLUTION- Since you have posted a question with multiple subpart , we will solve first three for you…

Q: a- Simply the following 1. Inx – In(x2 – 1) + 2ln(x + 3) 2. 5log2 + log3 - log8

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Q: If log(x + 3) + log(x – 3) = 1 then The value of a is

A: considering log base 10   using log property log(a)+ log (b)=log(axb) and  log 10 =1

Q: 4) Find x: logx = 0 !x:1

A: Log a with base c=b......(logarithm form) a=c^b.....(exponential form)

Q: Express log(x²-x-12) - log(x² - 7x + 12) as a single logarithm. State any restrictions on the…

A: Given : expression  logx2-x-12-logx2-7x-12 Prerequisite : Here we use the formula log a - log b =log…

Q: 2. i) Now, on your calculators, compute the following: e-24 = log2 3 =

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

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Q: 9. Express equivalent expression: log(x – 3) – log() + log 4 as an x+3

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Q: 2. Show that x– log (1 +x) < く 2 (1+x) ' ザ-1<x<0.

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Q: 4. Solve the following logarithmic equation: log; (Z + 8)x7 – log3 (2K + 9)x3 = log3 (Z + 5)x2 + 4(Z…

A: Here, Z=9k=5

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

A: Given that: y=xloge-x

Q: 6. Expand the expression 2x+3 log (x+4)°(x- 3)*

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Q: 7. Find y'. y = log, (9– x-x)

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

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

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Q: Evaluate So ·∙log 1+ax 1-ax (: ( dx x√√1-x²

A: A very good problem. This problem illustrates the power of differentiating under the integral sign.…

Q: 7. If the equation 3(5)“ =k is solved for x in terms of k, the result is 1 k (1) x=-log, 3 3 = 2…

A: Solving this expression we have

Q: 13 1. Solve 2 log, (x + 4) – log2 ( 2.x + 2 = 1 -

A: Given,2log2x+4-log22x+132=1 Used Properties: 1. logaxy=ylogax                            Power…