(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.
$\log _{3}243=$
$\log _{7}7=$
$\log _{3}81=$
$\log _{2}32=$
$\log _{5}25=$
$\log _{2}4=$
$\log _{9}1=$
$\log _{4}256=$
$\log _{7}343=$
$\log _{2}1=$
$\log _{2}2=$
$\log _{6}1=$
$\log _{8}1=$
$\log _{2}16=$
$\log _{4}16=$
$\log _{9}81=$
$\log _{6}36=$
$\log _{3}3=$
$\log _{6}216=$
$\log10000=$
$\log _{5}625=$
$\log _{6}6=$
$\log _{8}512=$
$\log _{4}1=$
Evaluate. Give your answers as fractions.
$8^{-3}$
$9^{-1}$
$10^{-1}$
$5^{-2}$
$5^{-3}$
$3^{-4}$
$4^{-1}$
$5^0$
Evaluate.
$\log _{9}\frac{1}{9}=$
$\log _{4}\frac{1}{16}=$
$\log _{7}\frac{1}{343}=$
$\log _{8}\frac{1}{64}=$
$\log _{3}\frac{1}{27}=$
$\log _{9}\frac{1}{81}=$
$\log _{3}\frac{1}{3}=$
$\log _{4}\frac{1}{4}=$
$\log _{3}\frac{1}{81}=$
$\log _{5}1=$
$\log _{3}\frac{1}{9}=$
$\log _{8}\frac{1}{8}=$
$\log _{9}1=$
$\log _{6}\frac{1}{36}=$
$\log _{2}\frac{1}{4}=$
Evaluate. Give your answers as fractions.
$49^{\frac{1}{2}}$
$27^{\frac{1}{3}}$
$16^{-\frac{1}{4}}$
$343^{\frac{1}{3}}$
$243^{\frac{1}{5}}$
$36^{\frac{1}{2}}$
$32^{\frac{1}{5}}$
$4^{-\frac{1}{2}}$
Evaluate. Give your answers as fractions.
$\log_{100}\frac{1}{10}$
$\log_{343}\frac{1}{7}$
$\log_{343}7$
$\log_{216}6$
$\log_{729}9$
$\log_{25}5$
$\log_{9}\frac{1}{3}$
$\log_{16}2$
$\log_{243}\frac{1}{3}$
$\log_{512}8$
$\log_{32}\frac{1}{2}$
$\log_{36}6$
$\log_{27}\frac{1}{3}$
$\log_{1000}10$
$\log_{125}5$