log3 [X² 4²³) 7 A) 9 log3 (x) + 8 log3 (y) - log3 (7) C) (9 log3 (x))(8 log3 (y)) - log3 (7) O B) 9 log2 (x) - 8 log² (y) - log3 (7) D) 9 log3 (x) + 8 log3 (v) + log3 (7)

Q: |Example 6.12. Prove with the usual notations, that (i) hD = log (1 + A) = - log (1- V) = siiih- (E)…

A: Please find step by step solution below:

Q: log 12 = O3 log 4 O4 log 3 O2 log 6 O log 3 + log 4 O log 3 . log 4

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Q: Find big-oh of the following functions: i. f (n) = n log n + n, ii. f (n)g(m) and f (n) + g(m),…

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Q: B. Solve each logarithmic inequalities. 1.) log5(4x – 3) 5 4.) 3log, 2 > 5 + log, 16 3

A: Solve Lograthmic equations

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A: The objective of the question is evaluate the equation.

Q: Which graph represents ƒ(x) = log₂ x − 1? - f(x) 5 4 3+ 2- 1.

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Q: log 5 + log (x + 8) = 2

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Q: Salve the equa aem log3x = 4log35 – log38 ) log5x + log5(x + 1) = 2

A: Domain of logarithmic Function is always greater then 0

Q: 7) log-2(-8) = x 8) logix = 5 2 9) 2* + 2* = : 10)3*+2 = 92x-3 2

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Q: log5 (x – 6) + log5(x + 3) = log5 10 %3D

A: Given  log5(x-6) + log5(x+3) = log510

Q: Show that log,(n) € O(log,(n)) for any b>0 with b 1· Generalize this result.

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Q: B. Use the properties of logarithm to express the following as a single logarithm. 6. log m + log n…

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Q: Pls helpp ASAP

A: Given  f(x) = log2 (x+1)   and g(x) = log2 (x-1)

Q: Question 2 Find the least integer n such that f(x) is O(n) for the function x² + x² log x Question 3…

A: For Question 2:The function (f(x)=x2+x4logx) has two components, (x2) and (x4logx). As ( x )…

Q: log x+ log(x²/y) + log(x³/y²)...... to n terms

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Q: Solve. a) log(x+ 3) + log(x – 2) = log(3x+2) b) 6**3 - 6* = 215 %3D

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Q: Pls help ASAP

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Q: f(x)=log2x and g(x)=√? − 4 (square root over the whole x-4)  what is the domain of f(g(x)) and…

A: Given that  f(x)=log2x and g(x)=√(x− 4) To find the domain of f(g(x)) and g(f(x))

Q: Which graph represents f(z) = log+1? %3| f(x) 51 4+ 4- 3+ 3- 2+ 2- 1+ -2 -1 1 4 --2 -1 .1 3 4 -1+ -2…

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Q: 21) Use f(x) = x² - 4 and g(x) = x - 3 to find f(g(x)). (oiseach)

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

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Q: Pls helpp ASAP

A: Proceed as shown

Q: V (P) = log (2) (5) + + log (4) 2, + log (8) = log (4) + ...

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Q: a) log(x? - 4) – log(x – 2) b) log(x+7x + 12).

A: (a) the given expression is logx2-4-logx-2 use the formula log m - log n = logmn…