(9.2) What are Logarithms?
Logarithms in base $a$
$2^3=$
$2^4=$
$3^4=$
$5^2=$
$7^3=$
$2^6=$
$4^0=$
$10^3=$
$10^5=$
$\Rightarrow \quad \log_2 8=$
$\Rightarrow \quad \log_2 16=$
$\Rightarrow \quad \log_3 81=$
$\Rightarrow \quad \log_5 25=$
$\Rightarrow \quad \log_7 343=$
$\Rightarrow \quad \log_2 64=$
$\Rightarrow \quad \log_4 1=$
$\Rightarrow \quad \log 1000=$
$\Rightarrow \quad \log 100000=$
Evaluate.
$\log _{7}49=$
$\log100=$
$\log _{8}512=$
$\log1000=$
$\log _{3}3=$
$\log10000=$
$\log _{6}1=$
$\log _{5}1=$
$\log _{2}64=$
$\log _{5}125=$
$\log _{7}343=$
$\log _{5}5=$
$\log _{4}256=$
$\log _{4}1=$
$\log _{7}7=$
$\log _{7}1=$
$\log _{4}64=$
$\log _{5}625=$
$\log _{8}64=$
$\log _{8}8=$
$\log _{2}32=$
$\log _{3}81=$
$\log _{9}1=$
$\log _{2}16=$
Evaluate. Give your answers as fractions.
$3^{-2}$
$5^{-1}$
$3^{-3}$
$2^{-2}$
$8^{-3}$
$10^{-2}$
$3^{-4}$
$4^0$
Evaluate.
$\log _{3}\frac{1}{81}=$
$\log _{5}\frac{1}{625}=$
$\log _{3}\frac{1}{243}=$
$\log _{7}\frac{1}{7}=$
$\log _{2}\frac{1}{2}=$
$\log _{3}\frac{1}{27}=$
$\log _{9}\frac{1}{9}=$
$\log _{4}\frac{1}{16}=$
$\log _{4}1=$
$\log _{4}\frac{1}{256}=$
$\log _{7}1=$
$\log _{2}\frac{1}{32}=$
$\log\frac{1}{10}=$
$\log _{7}\frac{1}{49}=$
$\log _{6}\frac{1}{216}=$
Evaluate. Give your answers as fractions.
$9^{\frac{1}{2}}$
$4^{-\frac{1}{2}}$
$100^{-\frac{1}{2}}$
$256^{\frac{1}{4}}$
$64^{\frac{1}{6}}$
$16^{-\frac{1}{2}}$
$125^{-\frac{1}{3}}$
$512^{-\frac{1}{3}}$
Evaluate. Give your answers as fractions.
$\log_{343}7$
$\log_{256}\frac{1}{4}$
$\log_{16}2$
$\log_{729}\frac{1}{9}$
$\log_{64}\frac{1}{2}$
$\log_{9}3$
$\log_{27}\frac{1}{3}$
$\log_{49}\frac{1}{7}$
$\log_{16}\frac{1}{4}$
$\log_{81}3$
$\log_{81}9$
$\log_{81}\frac{1}{9}$
$\log_{216}6$
$\log_{729}9$
$\log_{125}\frac{1}{5}$