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.
$\log _{9}9=$
$\log _{5}25=$
$\log _{5}5=$
$\log _{7}343=$
$\log _{5}625=$
$\log _{8}64=$
$\log _{2}64=$
$\log _{2}32=$
$\log _{6}6=$
$\log _{8}8=$
$\log _{7}1=$
$\log _{3}9=$
$\log _{3}81=$
$\log _{7}7=$
$\log _{4}16=$
$\log _{8}1=$
$\log _{2}4=$
$\log _{4}64=$
$\log _{3}243=$
$\log _{6}216=$
$\log _{2}8=$
$\log _{6}1=$
$\log100=$
$\log _{2}2=$
Evaluate. Give your answers as fractions.
$8^{-1}$
$7^{-3}$
$4^{-3}$
$6^0$
$8^{-2}$
$5^{-2}$
$8^0$
$2^{-4}$
Evaluate.
$\log _{8}\frac{1}{512}=$
$\log _{5}\frac{1}{125}=$
$\log _{9}1=$
$\log _{7}\frac{1}{49}=$
$\log _{4}\frac{1}{16}=$
$\log _{9}\frac{1}{81}=$
$\log\frac{1}{100}=$
$\log _{8}\frac{1}{64}=$
$\log\frac{1}{1000}=$
$\log _{5}\frac{1}{5}=$
$\log _{7}\frac{1}{7}=$
$\log _{4}\frac{1}{64}=$
$\log _{6}\frac{1}{36}=$
$\log _{5}\frac{1}{25}=$
$\log _{8}1=$
$\log _{2}\frac{1}{16}=$
$\log _{3}\frac{1}{9}=$
$\log _{2}\frac{1}{64}=$
Evaluate. Give your answers as fractions.
$125^{-\frac{1}{3}}$
$64^{\frac{1}{2}}$
$9^{-\frac{1}{2}}$
$81^{\frac{1}{2}}$
$27^{\frac{1}{3}}$
$125^{\frac{1}{3}}$
$512^{-\frac{1}{3}}$
$81^{-\frac{1}{4}}$
Evaluate. Give your answers as fractions.
$\log_{32}\frac{1}{2}$
$\log_{9}\frac{1}{3}$
$\log_{64}\frac{1}{4}$
$\log_{49}7$
$\log_{125}\frac{1}{5}$
$\log_{216}6$
$\log_{343}7$
$\log_{64}8$
$\log_{36}6$
$\log_{81}9$
$\log_{729}9$
$\log_{343}\frac{1}{7}$
$\log_{512}\frac{1}{8}$
$\log_{16}2$
$\log_{64}4$
$\log_{25}\frac{1}{5}$
$\log_{64}\frac{1}{2}$
$\log_{81}3$