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Logarithms
Logarithms
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Algebra 2 basics of logarithms
Flashcards
21 cards
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Practice quiz
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Questions
21
Answers
1
Find the logarithm, solve for x
0
1
\sqrt[5]{5}
-1
2
Find the argument, x, of the logarithm
625
125
243
25
3
Rewrite the equation in logarithmic form
\log_6x=3
\log_36=x
\log_x3=6
\log_63=x
4
Find the argument, x, of the logarithm
16
1/8
2
1/16
5
Find the logarithm, solve for x
2
6.277x1057
\frac{1}{2}
281,474,976,710,656
6
Find the argument, x, of the logarithm
100
1,000
59,049
10,000
7
Find the argument, x, of the logarithm
64
56
25
32
8
Rewrite the equation in logarithmic form
\log_{32}2=5
\log_52=32
\log_232=5
\log_25=32
9
log
a
b=x equal a
x
=b
True
False
10
Rewrite the equation in exponential form
3^{27}=3
92=3
3^3=27
27^3=3
11
Rewrite the equation in logarithmic form
\log_510=100,000
\log_{10}5=100,000
\log_{10}100,000=5
\log_5100,000=10
12
Rewrite in logarithmic form x=2
8
log2x=8
log8x=2
logx2=8
logx8=2
13
Rewrite the equation in logarithmic form
\log_35=243
\log_53=243
\log_3243=5
\log_{243}5=3
14
solve 3
(
log
3
81)
9
3
81
27
15
Rewrite the equation in exponential form
2^8=\frac{1}{3}
\frac{1}{3}^8=2
8^{\frac{1}{3}}=2
2^{\frac{1}{3}}=8
16
Rewrite the equation in exponential form
2^3=9
3^2=9
3^9=2
9^2=3
17
Rewrite the equation in exponential form
256^4=4
4^{256}=4
4^4=256
163=256
18
Find the logarithm, solve for x
4.174x10264
1.917x1035
2
\frac{1}{2}
19
Rewrite the equation in logarithmic form
\log_{-1}4=\frac{1}{4}
\log_{-1}\frac{1}{4}=4
\log_4\frac{1}{4}=-1
\log_4-1=\frac{1}{4}
20
Find the logarithm, solve for x
0
1
\frac{1}{3}
3
21
Rewrite the equation in exponential form
2^4=16
16^2=4
4^2=16
2^{16}=4