log, x? 2 In a 2 In a In b In a 2 In b 2 Inh

Q: Use the one-to-one property of logarithms to solve. In (2? – 10) + In (9) = In (10) In ( x Enter the…

A: Given,    lnx2-10+ln9=ln10 ⇒ lnx2-10×9=ln10         as lna+lnb=lnab             ln9x2-90=ln10 Taking…

Q: 5. Write as the sum and/or difference of logarithms. Express powers as factors. Vx+4 (x-1)2²\ In 5(2…

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Q: Given that aand bare po simultaneouw equation sitive solve (he 9=36 log.a+logb= 10g b22

A: In this question we have to find the value of A and B using logarithmic identities using which we…

Q: Please

A: We write f(x) using ln(x) because we know derivative of ln(x) We use the change of base formula of…

Q: 1. What values could replace the ?" in these equations to make them true? a. logo 10 = ? b. log10…

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Q: The exponential form of log, x=zis

A: The exponential form of an equation is , where  and . The logarithmic form of an equation is , where…

Q: AB If r = C determine what logr is equal to, then expand the expression using the properties of…

A: Given

Q: Log(2 – 5i) Evaluate:

A: Introduction: The logarithm of a complex number can also be calculated. The obtained result is again…

Q: log 12 = ? A. log 3 · log 4 O B. 4 log 3 2 log 2

A: Given  What is log 12 =?

Q: Using complex logarithms, we have 3 3/3 km). In 2. In a + i + ckT where k is any integer, and a, b…

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Q: b. log, x-log, (x+42) = 0

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Q: ? In(3a) = b ln a + In 3 ? log, 4 = logs 8+.5 log, 16 ? (In a) 3b = 36 ln a log, 6? = (log, b)² %3D…

A: Using logarithmic identity:-

Q: loge of Tog, 1 8.

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Q: Which of the following is equivalent to 3 In ah? In(a") In() In 8 18 In(ab) In 8 none of the choices…

A: As we know that the logarithmic properties; 1). logcab=logca-logcb2). logca·b=logca+logcb3).…

Q: = d. Find an expression for = c and log,(2) log, (50) in terms of c and d, but not involving…

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Q: O Question 13 Which expression is another way to rewrite log. (8)? log (8) e8 C logs (e) In (8)

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Q: What is the value of Log(1 – i/3) In2 — іп/3 ln3 + ίπ/2 In/2 – in/3 In4+ 2in/3

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Q: 50. If log, x= 4 and log, y=5, then evaluate the following. a) log, r'y b) log. ay

A: We can solve the problem by property of logarithm.

Q: Use the Laws of Logarithms to expand the expression. ty3 x + 2 (a) log (b) In (c) log. x*(x? + 4)…

A: To simplify logxy3z2, use the quotient rule, logab=log a-log b, product rule, logab=log a+log b, and…

Q: Find the value of Log(1+i) iny2+ ίπ/3 In/2 + iT/4 iny5+ ίπ/2 In5 – in/6

A: solution of the given problem is below...

Q: C. Logarithmic on one side 6. log, x+log,2(x-3)=2 D. Logarithmic on both sides. 7. In(3x+8) =…

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Q: Evaluate the expressions 3^log3(9) e^ln(√7) use law of logarithms to expand: log7(a√x)

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Q: radicals as factors. √xy³ 3 a) log 22

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Evaluating the expression: log, 1 undefined 1 7

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Q: Find the value of N, N = log, (1+ i) + log,(1 – i). %3D Apply the properties of Logarithm. O In 2+i…

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Q: . a. Evaluate log, 2 b. Evaluate 5 - log: 2 c. How do the values of the expressions in parts (a) and…

A: we have to evaluate the given expressions (a) evaluate log225(b) evaluate 5·log22(c) we have to…

Q: M. log, M Swthat log psitive real numbers and aL log, N, where a, M, and N - 1.

A: logaMN = logaM - logaNAssume that x= logaM and y =logaNx= logaM→ M = ax y =logaN→N = ayMN = axay =…

Q: = the sum and/or difference of logarithms. Express powers as factors. log 4 rs o logs

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Q: log ) if log a = 5,log b = 4 andlog c = 6 Find the value of WEONE c2

A: We know that, loga·b=log(a)+log(b)log(ab)=blog(a)logab=log(a)-log(b) To find: loga2·b3c2 Let,…

Q: Assume that u > 0 and v > 0. Express log,(u“ v°) as a sum of multiples of log(u) and loga(v). Write…

A: We have to find

Q: 9** atb 10. If 16 and log (a-b)8 = -3, find the values of a and b %3D

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Q: Rewrite the expression as a single logarithm. Show work 1/2 ln(2? + 1) + ln(? − 1) − 3 ln(?^2 + 1)

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Q: Evaluate the expression.

A: To evaluate the expression  (a).               log8 0.25a=8 , x = 0.25       ay = x       8y = 0.25…

Q: Solve the equation

A: We solve the equation as log5x-2=log53x+7log5x-2-log53x+7=0log5x-23x+7=05log5x-23x+7=50x-23x+7=1

Q: Show that log, b=1/(log, a). [Hint: firstly solve the equation log, b=x for b, then solve this…

A: x=1y substitute value of x and y logab=1logba Hence the proof

Q: du log, (-u) u(ln b) dx

A: Here we use the derivative property of logarithm function.

Q: Given log, m =- (loga 16 – loga 2 Ba 3 ). Find m. Then evaluate loga m if a = b) 4 loga

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Q: 3. If log, 3 = $ and log, 5 = #, rewrite the following expressions in terms of $'s and #'s. a. log,…

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Q: 1. The value of log, (p* q¯²) is log. (Vp 2. The value of is 3. One way to express k in terms of p…

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Q: If log, (4x + 3) = 4, then x = You may enter the exact value or round to 4 decimal places. Check…

A: Please see the explanation below

Q: Log M-Log N is equal to? a. Log(M/N) b. Log (M-N) c. Log(M/N) d. Log (N-M)

A: Since you have posted multiple questions and we can answer one question. So, answered the first…

Q: log. 15625 J06ニX 625

A: Use log property

Q: 13. Which of the following is the same as log, (3x +2) = m? A. a®*+2) А. В. т С. а" 3 (3х +2) (3e+2)…

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

Q: The solution of log,(3 +) = 2 log, 2 is O I=7 O r= 4 I = 1 O r=-1 O r=-1

A: Given log7(3+x) = 2log72 We have to find x

Q: 7. If the log of 216 is equal to 3, the base is not ten. What is the base ? 648 72 6.

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Q: 6- If a,b,c,d>0, use the properties of logarithms to simplify and then Tnd the exact numerical value…

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Q: 17) Write the exponential form: log, 37 2 (a) 37? = b %3D (b) 2 = 37 (c) b = 10 (l) h? = 37 (c) None…

A: wr know that  If logba= c then  a=(b)c  So on using above property  If logb 37=2 then  37=b2

Q: Solve for r: log(z+ 4) – log(z+1) = 2 You may enter the exact value or round to 4 decimal places.…

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