# Logarithms

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Question 1
What is the value of $\log_3 81$?

Question 2
Which of the following is correct?

Question 3
If $\log_2 a=b$, then what is the relation between $a$ and $b$?

Question 4
What is the value of $\log_{\frac{1}{2}} 4 +\log_5 {\frac{1}{5}}$?

Question 5
$\log_{10} 2x =1$
Find $\log_2(x+3)$

Question 6
$\log_3 {\frac{x}{2}} -\log_3 2=-\log_{\frac{1}{3}} 9$
What is the value of $x$?

Question 7
What is the value of $1 +\log_3 15 -\log_3 5$?

Question 8
$\log_{10} 2=0.3$ and $\log_{10} 3=0.48$
What is the value of $\log_{10} 36$?

Question 9
If $\log_{10} 2 =b$, then what is the value of $2^{\log_{10} x}$?

Question 10
$\log_b a=\frac{2}{3}$
What is the value of $\log_a b$?

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