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.
$\log _{2}64=$
$\log _{3}9=$
$\log _{9}729=$
$\log _{2}8=$
$\log _{5}25=$
$\log _{2}16=$
$\log _{4}1=$
$\log _{5}5=$
$\log _{9}1=$
$\log _{3}3=$
$\log _{6}6=$
$\log _{5}1=$
$\log _{3}81=$
$\log _{3}243=$
$\log _{4}256=$
$\log _{3}27=$
$\log _{5}625=$
$\log _{2}32=$
$\log _{6}216=$
$\log100=$
$\log _{2}1=$
$\log _{7}343=$
$\log _{8}1=$
$\log1000=$
Evaluate. Give your answers as fractions.
$6^{-2}$
$3^0$
$10^{-3}$
$4^{-2}$
$9^{-3}$
$9^0$
$3^{-4}$
$2^{-3}$
Evaluate.
$\log _{9}\frac{1}{81}=$
$\log _{8}1=$
$\log _{3}1=$
$\log _{9}\frac{1}{9}=$
$\log\frac{1}{100}=$
$\log _{2}\frac{1}{2}=$
$\log _{2}\frac{1}{32}=$
$\log _{9}\frac{1}{729}=$
$\log _{4}\frac{1}{64}=$
$\log _{5}\frac{1}{5}=$
$\log _{8}\frac{1}{8}=$
$\log _{2}\frac{1}{4}=$
$\log _{7}1=$
$\log _{4}1=$
$\log _{5}1=$
$\log _{6}\frac{1}{216}=$
$\log _{3}\frac{1}{27}=$
$\log _{7}\frac{1}{7}=$
Evaluate. Give your answers as fractions.
$1000^{\frac{1}{3}}$
$16^{-\frac{1}{4}}$
$216^{-\frac{1}{3}}$
$64^{\frac{1}{2}}$
$64^{-\frac{1}{2}}$
$36^{\frac{1}{2}}$
$16^{\frac{1}{4}}$
$16^{-\frac{1}{2}}$
Evaluate. Give your answers as fractions.
$\log_{27}\frac{1}{3}$
$\log_{9}\frac{1}{3}$
$\log_{64}8$
$\log_{8}\frac{1}{2}$
$\log_{343}\frac{1}{7}$
$\log_{1000}\frac{1}{10}$
$\log_{243}3$
$\log_{512}\frac{1}{8}$
$\log_{64}\frac{1}{4}$
$\log_{9}3$
$\log_{64}\frac{1}{8}$
$\log_{625}\frac{1}{5}$
$\log_{16}\frac{1}{4}$
$\log_{125}\frac{1}{5}$
$\log_{512}8$
$\log_{100}\frac{1}{10}$
$\log_{16}4$
$\log_{125}5$