Assume a > 0. Which of the following is/are NOT equivalent to the expression log, (20x²)? Olog, (2a) + log3(10) Olog: (a2) + 20 Dlog3 (2a) + log3(10x) Olog; (a²)log,(20) Olog, (20) + log; (²) Olog; (2) + log, (10x²)

Q: Express as a single logarithm. 5log,m- log,n

A: The rules one have to use in this question are logam-logan=logamnalogbm=logbma

Q: = If log, (x+ 1) = then x اختواحد الخيارات 20 3 2.

A: Given log9x+1=12 Apply log rules logbx=yThe anti logarithm is calculated by raising the base b to…

Q: If log, (4x + 6) = 3, then x = %3D

A: Given:          log2(4x + 6) = 3   To find x

Q: for which value of x is the expression log7(2x-3) undefined

A: The logarithm function log(x) is defined only for x>0. So the  logarithm of a negative number  is…

Q: single, simplified logarithm Express as a 1- (log510 + 2log53)

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Q: Expand the logarithmic expression. 14. In 2x

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Q: Express the following log expression as a single log with a coefficient 1: -12log5^x+2log5^y=

A:

Q: Suppose log, 2 = 5 and log, 3 = 8, find: a) log, 18 b) loga i 4

A: we know that  log ab = log a + log b  log a/b = log a - log b  log ab = b log a

Q: Suppose log, 2 = 5 and log, 3 = 8, find: c) log, a5

A: Given  loga2=5 and loga3=8

Q: Use the properties of logarithms to expand the logarithmic expression.

A: Given : xlnx−4

Q: Find fx) if fx) = logX-5 %3D x4-3

A: f'(x)=?

Q: 2. Simplify by writing as a single logarithm: Show all steps clearly including use of 'log' rules.…

A: topic - logarithmic

Q: 11. Condense the expression log, (x² – 3x+2) . +2log(x+1).

A: Use base switch rule.

Q: Express as a logarithm of a single number/expression A to C . a. logx20+logx2 b.3log3x-log3y…

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Q: if 3loga + 5 laga - bloga=log64 %3D what is a?

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Q: What is b if (logb x)' = -1/3x

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Q: log V48

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Q: What is the value of x in logx > 2log4?

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Q: If log, (3x + 4) = 5, then x =

A: Log2( 3x+4)=5. using the definition of a logarithm:- for any positive real numbers x and b, b≠1,…

Q: The logarithm of a quotient of two numbers is the same as the of the logarithms of these numbers. So…

A: The logarithm of a quotient of two numbers is the same as the Difference of the logarithms of these…

Q: (a) If logx16=2, then x= (b) If logx81=4, then x=

A: For (a), Given logx16=2. So,          logx16=2⇒1log16x=2Multiply both sides by…

Q: Fill in each blank so that the resulting statement is true.

A: we know that logamn=logam-logan so, we can say that the quotient rule for logarithms states that…

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: What is the domain of ƒ1x2= logb x2? What is the range of ƒ1x2= logb x2?

A: Given: fx=logbx2 we know that domain of logx is x greater than zero similarly, domain of given…

Q: Explain why the log (-1) does not exist.

A: You need to have the idea of domain in order to get the answer of this question.

Q: Evaluate: log,36²/3 given than log636 = 2

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Q: Suppose loga 15 and log, 5 = 22, find: a) log, 9 b) log, 75 c) log,

A: Given Data: loga3=15loga5=22 (a) loga9 Solve the given logarithmic function.…

Q: = log,25 -x=

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Q: Write the expression as a single logarithm with a coefficient of 1. In x - (9 In y + In z)

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Q: Solve. log, x + logo (x + 5) = 2 O x = -4, x = 9 O x = 4 O x = 9 O x = 4, x = -9

A: Use the properties of lograthim and form the equation into quadratic than Factories to solve.

Q: 2. Simplify by writing as a single logarithm: Show all steps clearly including use of 'log' rules.…

A: We have to Answer only Question (2) as stated. We know that,

Q: Write the expression as a logarithm of a single ex 1 4 In x- In y 4 Iny-D] 4 In x- %3D 4

A: Using power rule and quotient rule of logarithm,

Q: If log, (4x + 4) = 5, then x

A: SOLUTION-

Q: If log, 2x + log4(x- 2) = 2 then x is equal to? %3D

A:

Q: If log, (4x + 4) = 5, then x =

A: We will use properties of Logarithmic and Exponential functions   Answer given by two different…

Q: If log, 2 = 0.3869, log, 3 = 0.6131, and log, 5 = 0.8982, ()- loga Round answer to four decimal…

A: Given loga 2 = 0.3869, loga 3 = 0.6131  and  loga 5 = 0.8982 we have to find loga310

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

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Q: If log, (3x + 2) = 4, then x = Calculator

A: The given logarithmic equation is log23x+2=4 To find: x

Q: 6. Use log, 10 3.322 and log 8s 0.903 to approximate the value of the expression. log, 100

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Q: Express p in term of q if: log,p -log,q =1

A: We have to express p in terms of q.

Q: Find the value of y from log, y = - O-3 -/3 -/3

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Q: If log, 5 = 0.8 and log, 3 = 0.5 , evaluate log, . **If your answer does not come out evenly, round…

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Q: Ifq (x) = log5 (6x³+4x²), find q' (x). O log5 (18x2 + 18) 18x² + 8x (In (5)) (6x³+4x²) O O 18x² + 8x…

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Q: 1 log,(x-1)-log,(x-4) = 2log, 232

A:

Q: 5. Determine an expression in terms of x, y and whole numbers for log, 400 if log 980A

A: Introduction: We will use some logarithmic properties to solve this problem. log(mn)=log(m)+log(n)…

Q: Expand the logarithimic expression.

A: lnx4+123x+16x-3

Q: Use the interpolation method to find log10 1044 from the following data: x = 1000 (10) 1050, y =…

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

Q: Use the Laws of Logarithms to combine the expression. 5 In(2) + 2 In(x) -- In(x + 7) 2

A: Using laws of logarithm to simplify given expression.