Which of the following is equivalent to log36? O A. log3 + 2log2 + log2 B. 3log2 + 2log3 – log2 C. 3log2 – 2log2 + log2 O D. log2 – log72

Q: Given that log,(N4) = 8, then log,(7) = %3D

A: Given logb(N4)=8logb(1N)=?That can be written as lobb(N-1)

Q: Which of the following are equivalent to log,(3)? () O-log, 3. Ologb 10 + log, (30) 1 Olog, (9)…

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Q: Express using a single log            2Log a2 – Log b – 2 Log a2b + 2Log b

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Q: Which of the following are equivalent to log, (4)? Choose all that apply. 1 log, (16) log, + log,…

A: Given logb(4)

Q: 11. Evaluate log, 32. OA 2 B. 5 O.8 C. 8

A: To evaluate: log432. Solution: Property of logarithm are: loganm=1nlogam logamn=nlogam logaa=1…

Q: Which of the following are equivalent to logb(4)? Choose all that apply. -logb(1/4) 1/2logb(16)…

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Q: Which of the following is equivalent to log₂ (2x²) - log₂ (¹) - log₁(x¹)? Select one alternative: O…

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Q: Find the exact value of the expression. (а) 10log(81) (b) In(e?) (c) log3(v 27) (d) log2(40) –…

A: Since you have posted a question with multiple sub-parts, we will solve only first three sub-parts…

Q: Which of the following are equivalent to log, (3)? Choose all that apply. O log, + log, (30) 10 O…

A:

Q: If log8 M = log5 7log5 8, then M =

A: Consider the provided information, log8M=log57log58 Find the value of M.

Q: Which of the following is equivalent to 5 (loga+logb) – 2logc? OA logyabc OB. Vab log- OD. a?b? log

A: 1/2(loga+logb)-2logc is equivalent to?

Q: Given log, 2 = 0.33 and log, 5 = 0.77, calculate log, 40. (Hint: Expand using sums or differences of…

A: logq2 = 0.33  logq5 = 0.77

Q: e. If log„(1944) = log, (486v2), find the values of n³.

A: log2n(1944) = logn(486√2) log1944/log2n = log(486√2)/logn (log1944)*log(n) = (log2 +…

Q: Which of the following are equivalent to log, (2)? Choose all that apply. O- log, () 1 Olog, (8) O…

A: Let's simplify each expression one by one.

Q: Given that log, (3) - 1.58 and log, (5) - 2.32 , evaluate each of the following: a) log, (0.6) z b)…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: Which of the following is an equivalent expression for log, 24 ? A log2 6 – log2 4 B log, 20 + log,…

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Q: Evaluate each of the following without using a calculator. (a) log, 21 + log, 18 – log, 14 (b) 2…

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Q: Given log(100) =2, log(101) =2.0043, log{103) =2.0128, log(104) =2.0170   find log(102)

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Q: Express using a single log2Log a2 – Log b – 2 Log a2b + 2Log b

A: The given expression is as follows:2Log a2 – Log b – 2 Log a2b + 2Log b

Q: Which of these are equivalent to log(7x) + log(6x)? Select all that apply. log(42x²) log(13x) 2…

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Q: Use log, 4 ~ 0.712 and log 12 ~1.277 to evaluate log, 48. log 48 =

A: Finding the value of log748 using the given conditions

Q: If x = ,then logx is O log(2a) – logb O 2loga – logb O 2loga +logb O log(2a) +2logb

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Q: Evaluate the following expressions 5. log, 3

A: Evaluate the given expression.

Q: Evaluate. a) log, VG b) log;125 – log;25 c) 5log,25

A: Logarithm properties

Q: Evaluate the following logarithm log32 + 3 logg2 + log316 2 1

A: To evaluate the given logarithm: log82+3log82+12log82

Q: Which of the following is equivalent to the expression log

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Q: here are 4 statements below, how many of them are correct? In(a2- ab) • log,(a²– ab)= Ina log(a?-…

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Q: Use log, 3 s 0.613 and log, 9 s 1.226 to evaluate log, 27 1.839 1.387 -0.613 0.752

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Q: Which of the following logarithms will evaluate to -4? There are multiple correct answers. O log1…

A: Logarithm function and the exponential function are inverses of each other. This is because we have…

Q: Given that log, (3) - 0.68 and log, (2) - 0.43 , evaluate each of the following: a) log, (v2) a b)…

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Q: Which of the following are equivalent to log, (4)? Choose all that apply. O log, (24) – log,(6) log,…

A: We use logarithmic properties

Q: Which of the following is an equivalent expression for log, 24 . log2 6 – log24 log, 20 + log, 4…

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Q: Given log,41.262 and log,71.771, what is the value of log, G)? Enter your answer in the box. log3…

A: Given query is to find the value of logarithmic expression.

Q: Which of the following is true? Select one: a. log48 = 2 b. log36 = 2 C. log216 = 4 С.

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Q: Written as a single logarithm, 3log,5 +log,6 – 2log,10 –log 25 is 6. O loga 25 3 O loga O loga 10 37…

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Q: (a) log,16 (b) log,16 (c) log,625 (d) log, 1 531441 (e) log1 36 (f) log: 27

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Q: 23. Which of the following expressions is equivalent to log(mn)2 ? O 2logm +logn O 2logm +2logn O…

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Q: Given that log 30.933, log 4 1.177, and log,71.653, find log b 4 log bb (Type an integer or a…

A: Given: logb3≈0.933, logb 4≈1.177, logb 7≈1.653

Q: Which of the following is equivalent to log₂ (x²) − log₂ (2x¹) + log(x²)? Select one alternative: O…

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Q: Which of the following is equivalent to 2log3(b)+5log3(x)– log3(a)?

A: Given expression is 2log3b+5log3x-log3a Used log rules: 1. logxy=ylogx2. logx+logy=logxy3.…

Q: Use log,4 s 0.712 and log,5 s 0.827 to evaluate log, 25. 1.54 0.827 0.589 1.654

A: Find the value of log 25 base 7

Q: 3. Write the following as a single logarithm. 2 log, 9+3log, 2 log, (2x) + 3 log, (x) log, (x)–log,…

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Q: Which expression shows how to write log, y as a base 5 logarithm? Select the correct answer below:…

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Q: 2log5X - logsy? 2 Which of the following condensed logarithmic expression is equivalent to 3log52 +…

A: →logbmn = n logbm→logbm×n =logbm + logbn→logbmn = logbm - logbn

Q: Which of the following is equivalent to 3= 817 (A) logg4= 3 (B) log,81 = 4 (C) log,81 3 =81 81 (D)…

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: What is the 2log, 5+ log; 4 written as a single logarithm? (A) log; 40 (B) log; 29 (C) log; 100 (D)…

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Q: Evaluate each of the following without using a calculator. (a) log, 21 + log, 18 – log, 14 (b) 2…

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Q: Which of the following is equivalent to log,(hf)? O A. hlog,(f) O B. flog,(h) Oc.log2(h) x log2(f) O…

A: We know that logarithmic formula

Vertices Of An Ellipse

In the study of the conic section of the geometry, An ellipse is a plane curve surrounding two focal points, or foci where the set of all locus of points in the plane has their sum of the distances to the two foci is constant. On the ellipse curve, it is the intersection point of the main axis. In an ellipse graph, the center of the axis is the midpoint of the line segment connecting the foci. The major axis is the line section that runs through the ellipse's foci, while the minor axis runs through the middle and is perpendicular to the major axis.. The ellipse has two endpoints on the major axis which are known as the vertices (in plural), vertex in the singular. The equation of the major axis is 2a, the equation of the minor is 2b and the distance between the major axis and minor axis is 2c. The semi-major axis has a length of a and the semi-minor axis has a length of b. The ellipse's vertices are determined by the elliptical orbit's equation and graph.