a. x x+2x+3 1 r+1

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.1: Exponential Functions
Problem 60SE: The formula for the amount A in an investmentaccount with a nominal interest rate r at any timet is...
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Question
22-23
23. Use the properties of logarithms to expand the logarithmic expression log,
x²-1
-> 0.
x+3
18. Solve the inequality
b. [-3,-1)U(1, c0)
(-3, – 1)U(1, 0)
a.
d. (1,00)
(-00,-3)U(-3, -1)
C.
x? +2x-15
19. Find all the vertical asymptotes of f(x) =
x(x+1)
x = 0
b. x = 1, x = 2
а.
x = 0 and x = -1
d. x= 2
C.
x+6
20. Decompose the given into partial fractions
x* +2x +3x
2 1
a.
x? x x2+2x+3
2.1
x+1
b.
x2xx² +2x+3
1 2
C.
x²
x x2 +2x+3
2 1
d.
x² +2x+3
21. Ethan invested P1 000 in a bank that gives an annual interest rate of 5.8% compounded
continuously.How long will it take to double his investment? Round-off your answer
to the nearest year.
a.
10
b. 11
C.
12
d. 13
22. Find the solution(s) of log, (x+6) = 2log,(x).
a.
x = -2
b. x 3
C.
x = -2 and x = 3
d. x= 0
-의og.(y)-log.(+)
a.
b.
6--
C.
2+-
d. 6+ log,(y)-log,(«)
Transcribed Image Text:23. Use the properties of logarithms to expand the logarithmic expression log, x²-1 -> 0. x+3 18. Solve the inequality b. [-3,-1)U(1, c0) (-3, – 1)U(1, 0) a. d. (1,00) (-00,-3)U(-3, -1) C. x? +2x-15 19. Find all the vertical asymptotes of f(x) = x(x+1) x = 0 b. x = 1, x = 2 а. x = 0 and x = -1 d. x= 2 C. x+6 20. Decompose the given into partial fractions x* +2x +3x 2 1 a. x? x x2+2x+3 2.1 x+1 b. x2xx² +2x+3 1 2 C. x² x x2 +2x+3 2 1 d. x² +2x+3 21. Ethan invested P1 000 in a bank that gives an annual interest rate of 5.8% compounded continuously.How long will it take to double his investment? Round-off your answer to the nearest year. a. 10 b. 11 C. 12 d. 13 22. Find the solution(s) of log, (x+6) = 2log,(x). a. x = -2 b. x 3 C. x = -2 and x = 3 d. x= 0 -의og.(y)-log.(+) a. b. 6-- C. 2+- d. 6+ log,(y)-log,(«)
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