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Logarithms
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Algebra 2 basics of logarithms
Flashcards
18 cards
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Practice quiz
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Questions
18
Answers
1
Rewrite the equation in exponential form
3^3=27
27^3=3
3^{27}=3
2
Find the argument, x, of the logarithm
125
243
3
Rewrite the equation in exponential form
8^{\frac{1}{3}}=2
\frac{1}{3}^8=2
2^8=\frac{1}{3}
2^{\frac{1}{3}}=8
4
Find the logarithm, x
1.917x1035
4.174x10264
2
\frac{1}{2}
5
Find the argument, x, of the logarithm
32
25
6
Rewrite the equation in logarithmic form
\log_{-1}\frac{1}{4}=4
\log_{-1}4=\frac{1}{4}
\log_4\frac{1}{4}=-1
\log_4-1=\frac{1}{4}
7
Rewrite the equation in logarithmic form
\log_25=32
\log_232=5
\log_{32}2=5
\log_52=32
8
Find the logarithm, x
3
1
0
\frac{1}{3}
9
Rewrite the equation in logarithmic form
\log_{10}100,000=5
\log_{10}5=100,000
\log_5100,000=10
\log_510=100,000
10
Rewrite the equation in exponential form
4^{256}=4
4^4=256
256^4=4
11
Rewrite the equation in exponential form
16^2=4
2^{16}=4
4^2=16
2^4=16
12
Find the argument, x, of the logarithm
\frac{1}{16}
2
13
Rewrite the equation in logarithmic form
\log_6x=3
\log_x3=6
\log_36=x
\log_63=x
14
Find the logarithm, x
1
-1
\sqrt[5]{5}
0
15
Rewrite the equation in logarithmic form
\log_35=243
\log_53=243
\log_3243=5
\log_{243}5=3
16
Find the logarithm, x
\frac{1}{2}
2
281,474,976,710,656
6.277x1057
17
Find the argument, x, of the logarithm
1,000
59,049
18
Rewrite the equation in exponential form
3^2=9
9^2=3
2^3=9
3^9=2
