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Problem Set: B (1) Solve the following: (a) 4²x-1 = 64 (d) In 3 – In x – In(x+ 5) = 0 (c) 22x + 2% – 12 = 0 (e) log4(x+ 2) – log,(x – 1) = 1 (b) 81–x = 4×+2 %3D

Problem Set: B (1) Solve the following: (a) 4²x-1 = 64 (d) In 3 – In x – In(x+ 5) = 0 (c) 22x + 2% – 12 = 0 (e) log4(x+ 2) – log,(x – 1) = 1 (b) 81–x = 4×+2 %3D

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 24E
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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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