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Rearranging and Evaluating Logarithms Flashcards | StudBud
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Rearranging and Evaluating Logarithms
Rearranging and Evaluating Logarithms
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Algebra 2 basics of logarithms
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Questions
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Answers
1
Rewrite the equation in exponential form
3^3=27
3^{27}=3
27^3=3
2
Find the logarithm, x
1
-1
0
\sqrt[5]{5}
3
Rewrite the equation in exponential form
2^{\frac{1}{3}}=8
\frac{1}{3}^8=2
2^8=\frac{1}{3}
8^{\frac{1}{3}}=2
4
Rewrite the equation in exponential form
4^{256}=4
4^4=256
256^4=4
5
Rewrite the equation in logarithmic form
\log_{-1}4=\frac{1}{4}
\log_{-1}\frac{1}{4}=4
\log_4-1=\frac{1}{4}
\log_4\frac{1}{4}=-1
6
Rewrite the equation in exponential form
3^9=2
2^3=9
9^2=3
3^2=9
7
Rewrite the equation in logarithmic form
\log_53=243
\log_3243=5
\log_{243}5=3
\log_35=243
8
Find the argument, x, of the logarithm
\frac{1}{16}
2
9
Rewrite the equation in logarithmic form
\log_{10}100,000=5
\log_5100,000=10
\log_510=100,000
\log_{10}5=100,000
10
Rewrite the equation in logarithmic form
\log_232=5
\log_52=32
\log_25=32
\log_{32}2=5
11
Find the logarithm, x
6.277x1057
2
281,474,976,710,656
\frac{1}{2}