Problem Set: B (1) Solve the following: (a) 42x-1 = 64 (d) In 3- In x- In(x+ 5) = 0 (b) 81-x = 4x+2 (c) 22x+2% – 12 = 0 (e) log4(x+ 2) – log,(x – 1) = 1 (f) log2 (x – 1) – log2(x+ 3) = log2 () %3D (2) The price of a dress is reduced by 20%. When the dress still does not sell, price was then reduced by of the reduced price. If the price of the dress after both reductions is $264, what was the original price? (3) If a projectile is launched into the air at 29.4 feet per second from a height of 60 feet, giuon by Sx) = 60 + 29.4x - 9.8x², where x is in seconds.

Q: (b) For what value of x is log₂ (x+1)-log₂ (x-1)=3?

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Q: Solve for x (here log = log10): A B x = 10 x = 50 C x = 100 D x = 500 log(x) log(5) = 2

A: The given logarithmic equation logx-log5=2. We have to solve the value of x.

Q: Problem Set: B (1) Solve the following: 1 (i) 2*/2-16 = 32 (ii) log, (x- 2)+ log, (x) =1

A: Solution 1: Given that 2x2-16=132 we can write it as 2x2-16=125⇒2x2-16=2-5         ∵1am=a-m Since…

Q: The solution for 4 - log₂(2-3x) = -1 is: A. x = -2 B. x = 2 C. x = -10 D. No solution

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Q: (g) logo(-x)+ log6(1-x) = 1 (h) 8e²-200 (i) 4+3 log(2x) = 16

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Q: 9. Solve log x+ log(x - 21) = 2 %3D

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Q: - If 2ª = 5 and 2b = 3 what is the value of log₂ (75) in terms of a and b?

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Q: log,(4x) – log, (2) = 3

A: Given :              log4(4x) - log4(2) = 3

Q: What is log4 (42) ? 02= 02²x² 04 (4 × 4)x 02²x 02x² 2r

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Q: (2) The price of a dress is reduced by 20%. When the dress still does not sell, price was then…

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Q: Solve for x, log 7 (x − 4) + log 7 (x + 2) =1 and state restrictions

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Q: If log(x + 3) + log(x – 3) = 1 then The value of a is

A: considering log base 10   using log property log(a)+ log (b)=log(axb) and  log 10 =1

Q: Solve the following for x:

A: 1)To solve the equation ((1/5)x+1=125x), we can rewrite (125) as (53) since (125=53). Then the…

Q: Log2(8)=3x+5

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Q: (c) log13(x + 3) + log13(x – 2) = log13(x + 19) (d) Vr – 1 – x = -3

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