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College Prep Algebra - Expanding and Condensing Logarithmic Expressions Flashcards | StudBud
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College Prep Algebra - Expanding and Condensing Logarithmic Expressions
College Prep Algebra - Expanding and Condensing Logarithmic Expressions
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1
A logarithmic expression involving addition is
condensed
using...
Division
Addition
Multiplication
Subtraction
2
A logarithmic expression involving subtraction is
condensed
using...
Subtraction
Division
Addition
Multiplication
3
Expand:
log
14
(12xy)
log14 (12) + log14 (x) + log14 (y)
log12 • logx • logy
log14 (12) • log14 (x) • log14 (y)
log12 + logx + logy
4
Condense
: log
3
(14) + log
3
(a) + log
3
(b) + log
3
(c)
log14abc (3)
log3 (14abc)
log3 (14 + a + b + c)
log3 (14 - a - b - c)
5
A logarithmic expression involving division is
expanded
using...
Addition
Multiplication
Division
Subtraction
6
Condense:
15 log
8
(x) + 12 log
8
(y) - 4 log
8
(z)
log8 (\frac{x^{15}}{y^{12}z^4})
log8 (\frac{15\cdot x}{12\cdot y+4\cdot z})
log8 (\frac{x^{15}y^{12}}{z^4})
log8 (\frac{15x\cdot12y}{4\cdot z})
7
T or F:
A logarithmic expression including an exponent is
expanded
by bringing the exponent down with multiplication.
True
False
8
Condense:
log
9
(4) - log
9
(5)
log9 (1.25)
log9 (\frac{4}{5})
log9 (\frac{5}{4})
log9 (0.8)
9
Condense:
5 log
1
(2) + 6 log
9
(2)
log1 (2526)
log1 (25) + log9 (26)
log9 (2526)
5 log1 (2) + 6 log9 (2)
10
Condense:
\frac{1}{2}log
3
(x)
log3 (\sqrt{x})
log3 (x - \frac{1}{2})
log3 (x1/2)
log3 (x • \frac{1}{2})
11
Expand:
log
55
(x
10
)
10 log55 (x)
45 log10 (x)
45 log55 (x)
55 log10 (x)
12
Expand:
log
4
(12xy
2
)
log4 (12) - log4 (x) - log4 (y2)
log4 (12) + log4 (x) + 2 log4 (y)
log4 (12) + log4 (x) + log4 (y2)
log4 (12x) + 2 log4 (y)
13
A logarithmic expression involving multiplication is
expanded
using...
Subtraction
Addition
Multiplication
Division
14
Expand:
log
6
(\frac{r}{s})
log6 (r) - log6 (s)
logr - logs
log6 (s) - log6 (r)
logs - logr
