(1) Solve the following: (a) 42x-1 = 64 (d) In 3 – In x – In(x+5) = 0 () log,(x – 1) – log,(x+3) = log, () (c) 22x + 2* – 12 = 0 (e) log,(x+ 2) – log,(x – 1) = 1 (b) 81-x = 4*+2 %3D %3D

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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(1) Solve the following:
(a) 42x-1 = 64
(d) In 3 – In x – In(x+ 5) = 0
(c) 22x + 2% – 12 = 0
(e) log,(x+ 2) – log,(x – 1) = 1
(b) 81–x = 4*+2
() log2(x – 1) – log,(x+ 3) = log2 (÷)
(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?
Transcribed Image Text:(1) Solve the following: (a) 42x-1 = 64 (d) In 3 – In x – In(x+ 5) = 0 (c) 22x + 2% – 12 = 0 (e) log,(x+ 2) – log,(x – 1) = 1 (b) 81–x = 4*+2 () log2(x – 1) – log,(x+ 3) = log2 (÷) (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?
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