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

Q: (Every topo log y is a base for itself) True or false

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Q: Assume that for some base a, logąx = 0.3000, logay = 2.8642, and logąz = 1.7642. Find %3D %3D loga…

A: log (mn)= log(m)+log(n)logmn=log(m)-log(n)logam=m log (a)

Q: 3

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

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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: 6. Use rules of logs to write as the log of a single quantity. a) 2log3 x - log3 4 b) In x + In(x+1)

A: We will use the listed properties of logarithm to solve this question.

Q: What is the zero o of the funcHon Y= loge (x+G)-I?

A: Given: The function, y=logxx+6-1.

Q: Express this in a single logarithm 1/2+3log10x2

A: Given function is

Q: Without using the theory of logarithms, show that for any natural number n, there exists a natural…

A:

Q: (True/False) log n is O(5n³).-

A: To find the given statement is true or false: O(5n3)=O(n3) Since coefficients can be ignored while…

Q: Expand the following: a) log 3x2/ y4 b) log5 x5 (square root of y)/ z3

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Q: asb b? =In 2. %3D (3

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

A: topic - logarithmic

Q: Solve the following equation: 2logx - log3 = 2 9√/3.7 O-11√2 10√3 O-10√/3.1

A: We can solve the given function.

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

A: Use base switch rule.

Q: Why the domain of F(x)=log2x2 is all real numbers except 0?

A: Given,          The domain of Fx=log2x2.

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

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Q: Estimate the error in the value log 2.7 obtained from the following dată.

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Q: - Find the solution set of * 2log2 (x + 8) – log2 (r + 6) = 3

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Q: 1. What is log,, 100? What about log,00 10? 2. What is log, 4? What about log, 2? 3. Express b as a…

A: values=?

Q: (a) In (x (b) log; 2y2

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Q: Is the “logarithm to the base 3 of 4” written as log4 3 or log3 4?

A: Given: Is the “logarithm to the base 3 of 4” written as log4 3 or log3 4? To Find: To check the…

Q: 4 In x + In(x - 25) is the base e logarithm of

A: solution:-

Q: The least value of the expression 2log10x – logx(0.01), for x > 1, is- (A) 10 C) –0.01 (В) 2 (D)…

A:

Q: Which of the following is equivalent to 4log3(6)+2log3(x)? O A. log3(6*x²) O B. log3(6) x log3(4) ×…

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Q: Which of the following is equivalent to 142 = X? O logx(14) = Z O log x(Z) = 14 O log14(Z) = X O…

A: The objective is to find the correct option.

Q: Which of the following expressions is equivalent to 6*? 6 In x 6x xIn 6 log 6X

A: Solution: We know that

Q: Use the definition of a logarithm to find the exact solution for 4 log (2n) - 7= -11

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Q: Express the following in terms of x without logs. log(100,000*)

A: Consider the following: log100,000xApply log rule,logaxb=b·logax

Q: Simply the following 1 1.5 Inx – In(x² – 1) + 2ln(x + 3) 2. 5log2 + log3 – log8 -

A: As per our guidelines we are supposed to answer only one question. Kindly repost other question as…

Q: (2) Combine the following into one single logarithm with a coefficient of 1 in front of the entire…

A: 6log4x-5-34logx+log9x-1

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: Select all that apply: log4 (114) = 11 4log,(11) = 11 O 4log11(11) = 11 O log, (4") = 11 11log,(4) =…

A: Please refer the attached image for complete solution.

Q: 2log, x-log, y+log, z

A: Follow the procedure given below.

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

A:

Q: Expand the logarithimic expression.

A: Given: y=lnx2-1x2+1 We know that lnmn=nlnm…

Q: convert the exponetial in logaritham form. 4v=a

A: logarithmic form will be  log4a = v

Q: if m=log10 n, what other relationship exists between m, 10, and n?

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Q: 4) Use the Laws of Logarithms to expand the expression as much as possible. Vx +5 In (2x²/y/

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Q: Compute 3 In(e) +2 log(10) 7 11 1 9. 3. B8

A: Solve by properties of logarithm.

Q: Evaluate (logyx)°, having given, 1 1 y = log10x + log10x +, logi0x + 00 ... - 2 1+3+5+ ..+ (2y – 1)…

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Q: Which are true of x = log10 31, 500? Select all that apply. O x 4 O x 5

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Q: If log2(3r + 5) = 5, then z =

A: We have to find the value of x log2(3x + 5) = 5 . So , By logarithmic properties. loga(b) = C Means…

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

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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: 2. Which of the following is equivalent to the expression: 2+3 log2 (x + 1) – log (2x – 1)? 2(x+ 1)3…

A: The given expression is: 2+3log2(x+1)-log2(2x-1)

Q: Show that 2 + 11n² log,(n³) – 7 = 0(n³)

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Q: The union of two topo log ies is topo log y True O False O

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Q: Suppose that In 3= a and In 7= b. Use properties of logarithms to write the logarithm in terms of a…

A:

Q: Suppose that A is a number with log(A) = 1.352. What is the value of %3D log(1000A)? *

A: we have to find