Easy

# Logarithmic Expressions: Problems with Solutions

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

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

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