Easy

Logarithmic Expressions - Problems with Solutions

By Catalin David
Problem 1
Find the value of the logarithm:
[tex]log_{2}16 = ?[/tex]
Problem 2
Find the value of logarithm
[tex]log_{\frac{1}{2}} {\frac{1}{8}}= ?[/tex]
Problem 3
Find the value of the logarithm: [tex]log_{\frac{1}{3}}27 = ?[/tex]
Problem 4
Find the value of the logarithm: [tex]log_4(\frac{1}{256})=?[/tex]
Problem 5
[tex] ln e^{3}=? [/tex]
Problem 6
[tex] lg0.001 = ? [/tex]
Problem 7
Compare
[tex]log_{3}6[/tex] [tex]log_{3}8 [/tex]
Problem 8
Compare [tex]log_{\frac{1}{3}}6 [/tex] [tex] log_{\frac{1}{3}}8 [/tex]
Problem 9
Find the value of the exponent [tex]2^{log_{2}3}= ?[/tex]
Problem 10
Find the value of the logarithm
[tex]log_{3}3^{15}=?[/tex]

Problem 11
Find the value of the logarithm
[tex]log^2_ {3}3^{5}=?[/tex]
Problem 12
[tex]log_{5}8 + log_{5}7 = ? [/tex]
Problem 13
[tex]log_{3}42 - log_{3}7 =? [/tex]
Problem 14
Write as logarithm with base 8
[tex] log_{3}{8}[/tex]
Problem 15
Write [tex] log_{9}{7}[/tex] as logarithm with base 3.
Problem 16
[tex]2log_{4}6 - log_{4} 9 = [/tex]
Problem 17
[tex]log_{3}10 + log_{9} 20 = ? [/tex]
Easy
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