(1) Solve the following: (a) 42x-1 = 64 (d) In 3 – In x – In(x+ 5) = 0 (c) 22x + 2x – 12 = 0 (e) log4(x+ 2) – log,(x – 1) = 1 (b) 81–x = 4x+2 (f) log2 (x – 1) – log2(x+3) = log2 2000 TAT

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Problem Set: B
(1) Solve the following:
(a) 42x-1 = 64
(d) In 3 – In x – In(x+5) = 0
() log2(x – 1) – log2(x+ 3) = log2 |
(b) 81–x = 4x+2
(c) 22x + 2x – 12 = 0
(e) log,(x+ 2) – log,(x – 1) = 1
(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,
its height (in feet) is given by S(x) = 60 + 29.4x – 9.8x², where x is in seconds.
Showing all working, determine:
(a) How long will it take the projectile reach its maximum height?
Transcribed Image Text:Problem Set: B (1) Solve the following: (a) 42x-1 = 64 (d) In 3 – In x – In(x+5) = 0 () log2(x – 1) – log2(x+ 3) = log2 | (b) 81–x = 4x+2 (c) 22x + 2x – 12 = 0 (e) log,(x+ 2) – log,(x – 1) = 1 (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, its height (in feet) is given by S(x) = 60 + 29.4x – 9.8x², where x is in seconds. Showing all working, determine: (a) How long will it take the projectile reach its maximum height?
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