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Logarithmic Functions: Simplification and Solving for x, Study notes of Algebra

University of Houston (UH)Algebra

A set of problems related to logarithmic functions, including simplification of logarithmic expressions and solving for x in logarithmic equations. The problems cover various bases and exponents, and include examples from exercises (indicated in parentheses).

Typology: Study notes

Pre 2010

Uploaded on 08/19/2009

koofers-user-3ys
koofers-user-3ys 🇺🇸

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Potential Poppers – 5.3
Note that if the problem is from the exercises, the problem number is in parenthesis.
Simplify
5
log 1
(19a)
32
log 2
(22b)
7
1
log 7
(23b)
4
5
log 5
(25b)
7
1
ln e
(36a)
Solve for x
7
log x 2
(47a)
x
1
log 3 2
(47b)
Give the domain, range, x-intercept, asymptote (in equation form), and track the
transformation of the point (1, 0) for
3
f (x ) log x
(61)
(66)
8
f (x ) log (x 2)
(64)

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Potential Poppers – 5. Note that if the problem is from the exercises, the problem number is in parenthesis. Simplify  log 1 5 (19a)  log 32 2 (22b)  (^7)

log 7 (23b)  (^) log 5 45 (25b)  (^7)

ln e (36a) Solve for x  log x 7  2 (47a)  (^) x

log 3 2  (47b) Give the domain, range, x-intercept, asymptote (in equation form), and track the transformation of the point (1, 0) for  f (x)  log x 3 (61)  f (x) log (x 6  4)  2 (66)  f (x) log (x 8  2) (64)