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.
$\log100=$
$\log _{2}16=$
$\log1000=$
$\log _{9}81=$
$\log _{4}16=$
$\log _{9}9=$
$\log _{5}1=$
$\log _{2}1=$
$\log _{4}64=$
$\log _{5}125=$
$\log _{8}1=$
$\log _{2}32=$
$\log _{6}1=$
$\log10000=$
$\log _{9}1=$
$\log _{7}7=$
$\log _{9}729=$
$\log _{5}25=$
$\log _{3}81=$
$\log _{3}9=$
$\log _{8}512=$
$\log _{5}625=$
$\log _{3}243=$
$\log _{3}3=$
Evaluate. Give your answers as fractions.
$3^{-3}$
$8^0$
$7^{-2}$
$5^{-3}$
$2^{-2}$
$2^{-5}$
$9^0$
$5^{-1}$
Evaluate.
$\log\frac{1}{1000}=$
$\log _{4}\frac{1}{16}=$
$\log _{7}\frac{1}{343}=$
$\log _{9}1=$
$\log _{4}\frac{1}{4}=$
$\log _{6}\frac{1}{216}=$
$\log _{5}1=$
$\log _{6}1=$
$\log _{3}1=$
$\log _{2}1=$
$\log _{3}\frac{1}{243}=$
$\log _{9}\frac{1}{729}=$
$\log _{4}\frac{1}{256}=$
$\log _{5}\frac{1}{25}=$
$\log _{2}\frac{1}{2}=$
$\log _{5}\frac{1}{5}=$
$\log _{3}\frac{1}{81}=$
$\log _{2}\frac{1}{4}=$
Evaluate. Give your answers as fractions.
$9^{\frac{1}{2}}$
$343^{-\frac{1}{3}}$
$8^{-\frac{1}{3}}$
$216^{-\frac{1}{3}}$
$16^{-\frac{1}{2}}$
$32^{-\frac{1}{5}}$
$32^{\frac{1}{5}}$
$8^{\frac{1}{3}}$
Evaluate. Give your answers as fractions.
$\log_{4}2$
$\log_{125}5$
$\log_{27}\frac{1}{3}$
$\log_{625}\frac{1}{5}$
$\log_{16}\frac{1}{4}$
$\log_{512}\frac{1}{8}$
$\log_{16}4$
$\log_{729}9$
$\log_{49}\frac{1}{7}$
$\log_{9}\frac{1}{3}$
$\log_{4}\frac{1}{2}$
$\log_{32}\frac{1}{2}$
$\log_{32}2$
$\log_{25}5$
$\log_{512}8$
$\log_{8}\frac{1}{2}$
$\log_{343}7$
$\log_{1000}\frac{1}{10}$