Express -log x+5log y as a single logarithm. (A) log -+5y ® log(Vry³) log(V+ y*) (D) log 2

Q: ,2,3 Expand into several logarithms: x'y In 25

A: Logarithm is inverse of exponentiations. A logarithm is easy method to express large number and to…

Q: Suppose that log, x = 5 and log, y = 4 compute %3| log, Vx²y³

A: Given

Q: The effect on the graph of y = log,z if it is transformed to y = log,(z+3)? may be described as Oa…

A:

Q: 5. Show that --I+#^) log, (V +1- x) + log, (VF+1+x) = 0 x². x² + 1 + x

A: We know the property of logarithm, logb(a)+logb(c)=logb(ac)

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

A:

Q: Solve the equation.

A: Given, log3x-2=log327-log3x-4-5log51 solve the equation log3x-2+log3x-4=log333-1…

Q: 9. Between what two consecutive integérs must the value of log,s00) lie? Justify your answer. gol-v

A:

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

A:

Q: If x2 + y2 = 25xy . Then prove that 2 log(x+y) = 3log3 +logx + logy

A: It is given that x2+y2=25xy add 2xy to both sides  x2+y2+2xy=25xy+2xy using the formula…

Q: - Express as a single log. 3 log4 x + 2 log4. log4 y - Show your work

A:

Q: Differentiate the following functions: 1. y = tan(log25x) + x. log3(sec x) 2. logyx = logxy %3D

A: We havey=tanlog2 5x +x.log3 (sec x)Let  u=tanlog2 5x     and    v=x.log3 (sec x)Now y=u+vdiff.…

Q: 2 2. + logio x - 3 = 0 10 %3D logx 10

A: 1logx102+log10x2-3=0Apply log rules:2log10x2-3=0Rewrite the equation with log10x=u2u2-3=0u=32,…

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: 4 Evaluate (logyx)'., having given, 1 1 y = log1,x + ; log,0x + log10x + . 00 1+3+5+ ..+ (2y - 1) 20…

A: We have to solve given problem:

Q: 4. Differentiate the function. f(x) = log3 (x In x)

A:

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: Express irrational solutions in exact form and as a decimal rounded to three decimal places. log16 x…

A: Given logarithmic equation is: log16 x + log4 x + log2 x = 7 We have to solve for x.

Q: Then, use a calculator to obtain a decimal approximation to three decimal places, for the solution.…

A: Given that the equation is log2x-3+log2x-log2x+2=2.

Q: sketch the graph of f(x) =1 log2 (x+3)  state vertical shift, horizontal shift, ordered pair where…

A: The given function is f(x) =log2 (x+3)To sketch, state vertical shift, horizontal shift, ordered…

Q: 4. Solve for x log (35-x³) log (5-x) = 3

A: Given log35-x3log5-x = 3

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: 43. (log3 x)2 - 3log3 x = 10 noituloe adi aamizoq

A: According to our terms and conditions I have solved first question for next question repost

Q: write the logarithmic equations in exponential form.

A: Since, you have asked multiple questions, we will solve the first question for you. If you want any…

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

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Q: 4. Show that id 5D accuracy is required to calculate the value of log(1+x) at x=0.1,0.5 by using the…

A: Given equation is log1+x=x-12x2+13x3+.....+-1n+1nxn+Rn+! So, Rn+1=-1n+2n+1xn+1 So, maximum relative…

Q: 2. Evaluate sin2x logtanx dx

A: Use the property of the definite integral and simply solve it.

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: -, State the transformations that are needed to turn y 4 log10(x – 4) into y = – 2 log10(x + 1).

A: Compare the both equation and take transformation and varify

Q: Express irrational solutions in exact form and as a decimal rounded to three decimal places. log2…

A: Given, log2 (3x + 2) - log4 x = 3

Q: Find a real root of 3x – log10 x – 8 using the Successive Approximation method. Correct to four…

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

A: Given function is y=-3+log2x2-x+2

Q: Find all positive values of 'a' for which the equation log (ax) = 2 log (x + 1) has the unique root.

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

A: Property of logarithm

Q: 3. y = Arccos ( logx);y' = * O -1/x In(10)*sqrt ( 1 - (logx)^2) O 1/ x In(10)*sqrt (1 - (logx)^2) O…

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

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

Q: Express the following in terms of x without logs or natural logs 1) log100x 2) 1000logx 3)…

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

A:

Q: How do I expand this logrithmic equation? In(x2 square root of y/z)

A: Given:

Q: solve for x, log(x+5)-log(x+2)=2 please show work.

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Q: 2 log(x+y) = 3log3 +logx + logy

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Q: 10 logat 1) y = -

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: 1. y = -3+log, r 2. y = log, (r – 2) 3. y = - log, (æ + 3) 4. y = 2 + log,

A: we have to match

Q: Express irrational solutions in exact form and as a decimal rounded to three decimal places. log5 x…

A: Express irrational solutions in exact form and as a decimal rounded to three decimal places. log5 x…

Q: 5-Solve a) log3x + log3(x + 6) = 3 b) log10 (3x-2) -2log10 X+1 = 2 c) log, (1– x) + log,(2x– 5) = 3…

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

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

A: According to our company's guidelines I can only answer first three subparts of the question B since…

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

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Q: Match the logarithmic function with its graph. I II y 1 + III IV 1 ++ (a) f(x) = -log2(x)…

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Q: Evaluate / x. sec² 2x. dx. x.tan2x + + ilog(sec2x) + C 2 O log(sec2x) + C O None xan - log(sec2x) +…

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

A: