3a'b² Va Which of the following is equivalent to In none of the choices 6 log 3ab log a (1+ log, a+2 log, b) log, e In 3a' In va (log 3a') (log b) log a

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: The logarithmic expressi on In can be rewritten as (1) 3ln y- 2 In y- 6 (3) 2 1-6 In y (2) 2 (4) Vin…

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

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A: To prove,  loga1N=-logaN where, a  and  N are positive real numbers and a≠1. Now, take the left…

Q: Find if z = log2 y – 6 log5 y. dy dz dz In- dy y In 10 dy y ln 10 Option 1 Option 4 64 dz In- 64 dz…

A: We know, ddxlogax = 1x·ln a a·ln b = ln ba ln a - ln b = ln ab

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

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Q: A colony of bacteria is grown under ideal conditions in a laboratory so that the population…

A: Consider the following exponential function: y=abx                                  ...... 1 Here,…

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: dx aluate: :S₁ (x+1) log(x+1) A In10 In[log(x+1)] + C 1 B -In[log(x+1)]+C In 10 O In 10 log² (x + 1)…

A: Topic:- application of integration

Q: 2 1. Express log,(64 x v64*) + log, (46 V256. 43 logarithm

A: Using log44 = 1

Q: TWO quantities M and N are defined via logarithms as log M = 2, log N = 5 EXPLAIN why N is greater…

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Q: 3. If 19.4 = log (ab) and 7 = log₂ (a), where > 1, then log, (b) equals H 12.4 26 2.8 135.8 ◄ Prev…

A: We want to find the value of logxb.

Q: 1 1 1 The value of log, n log,n SI- log,™ -+- t.

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Q: dy : Prove that dx or ỹ for expression y log2(x²) is equal to ỹ = 2[1-log2 x² In 2] %3| x2 x³ In 2

A: Given, y = log2x2x2    We have to prove dydx or y¯ = 21-log2x2.ln2x3ln2

Q: 2. Misalkan CR adalah lingkaran dengan pusat di titik asal dengan jari-jari R > 1. Buktikan Log (z2)…

A: Here we show that ∫CRLogz2z2dz<4ππ+lnRR

Q: y = (1 – x³)(log2x)(cot²x)

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Q: 2. Solve for x. log,24 – log,2 = logax

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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: neho n 3 Explain wshy logavithmie disfen thaton mpunn

A: To state the reason for using logarithmic differentiation for the present function.

Q: (b) 5" (2 – cot 5")(1 – csc 5“) dx SC 11 – 2 log x (c) / dx JIV6 log r – logʻ 1 x/6 log x -

A: You have asked Only part b and c

Q: In 1990, a scientist found 751 g of a new isotope. After 5 years it had decayed to only 500 g. If…

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Q: 7. log;(x²) =, x log5(_ 8. log,(y*) = x log-(. 9. log(V1000) = – x log( %3D

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Q: 2. In (x + 2) + In 2 = 3 | 4. log:9 – logs (x+ 10) = 1 6. log, (x² +3x) – log, (x + 5) = 1

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

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Q: 3. Express in Exponential Form 5. log 81 4 log, m = n Gen Math Page 7 of 8 C. Express in Logarithmic…

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Q: 10. Express 17* as a power with a base of 2. log2 log 17 b. 2 4 log 17 log2 d. 2 a. log, 17* c. log,…

A: As we know from the logarithmic property; logaxb=b·logax, where x,a>0 & a≠1   Let, 174=2x…

Q: The table shows corresponding values of x and y obtained experimentally. By drawing a suitable graph…

A: Estimate the logarithmic values of x and y. Tabulate the values of x, y, log10x and log10y.  x y…

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: 26. Describe the behavior of each of the following: (a) 5 (b) log x as x>0 as x (c) ln x as x ->co…

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

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

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Q: Jay and John used to travel together but because of the pandemic, they decided to go separately…

A: Given that John and Jay starts at the same time using different path and both moves to the right…

Q: 6) Given that x = log, b. write down an %3D expression for b in terms of a and x. log, t that log, t…

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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: Which of the following are equivalent to 5 · log (u-1/6)? Assume u > 0. 1 O log log (u/") 1 log (u")…

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Q: Some biorlogos model thenumberof S species in afixed area A (e.g. an island) with therelationto…

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Q: п/4 Show that log(1+ tan8)d = log2. 8

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Q: 4. Express the following single logarithm: as a i) log3 54 -log3 6 ii) 2 In (5a’b) – In (125 aº b²)…

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Q: Suppose a certain population is initially absent from a certain area but begins migrating there at a…

A: Consider the provided question, Suppose a certain population is initially absent from a certain area…

Q: 6) If u = log (x² + y²), then prove that log (x² CSScanned with CamScanner dydx ôxôy

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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: d Find (2"). Type In(x) for the natural logartihtm dx function.

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Q: rewrite each expression as a singlelogarithm.

A: 35). Given expression is 3log2x+log2y To rewrite the expression as a single logarithm. Solution:…

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

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Q: 3. Which of the following is equivalent to log *? (1) log x– log y (3) 3log x--logy (2) 9log(x-y)…

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Q: 12 %3D 5. (i) By using the substitution u = 1+ cosh x, rcosh-12 tanh x dx, 1+ cosh x evaluate…

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Q: that the logar log x, and f(x) = In x have in common and the attributes that make them different.…

A: The difference between log and ln is that log is defined for base 10 and ln is denoted for base e.