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.
$\log _{9}81=$
$\log _{3}81=$
$\log _{3}243=$
$\log _{9}9=$
$\log _{3}1=$
$\log _{8}512=$
$\log _{2}2=$
$\log _{6}6=$
$\log _{6}216=$
$\log1000=$
$\log _{2}4=$
$\log _{3}9=$
$\log _{5}125=$
$\log _{6}36=$
$\log _{7}343=$
$\log _{2}1=$
$\log _{6}1=$
$\log _{8}1=$
$\log _{7}49=$
$\log _{4}256=$
$\log _{5}625=$
$\log _{4}64=$
$\log10000=$
$\log _{3}3=$
Evaluate. Give your answers as fractions.
$2^0$
$10^{-1}$
$6^{-2}$
$7^{-3}$
$3^{-3}$
$5^0$
$2^{-2}$
$3^{-4}$
Evaluate.
$\log _{3}\frac{1}{81}=$
$\log _{4}1=$
$\log1=$
$\log _{4}\frac{1}{256}=$
$\log _{5}\frac{1}{5}=$
$\log\frac{1}{100}=$
$\log _{7}\frac{1}{49}=$
$\log _{9}\frac{1}{81}=$
$\log _{5}\frac{1}{25}=$
$\log _{6}1=$
$\log _{8}\frac{1}{64}=$
$\log _{5}\frac{1}{625}=$
$\log _{2}\frac{1}{8}=$
$\log _{2}\frac{1}{64}=$
$\log _{8}1=$
$\log _{6}\frac{1}{6}=$
$\log\frac{1}{1000}=$
$\log _{6}\frac{1}{216}=$
Evaluate. Give your answers as fractions.
$64^{\frac{1}{6}}$
$16^{-\frac{1}{2}}$
$16^{\frac{1}{4}}$
$100^{\frac{1}{2}}$
$625^{-\frac{1}{4}}$
$256^{\frac{1}{4}}$
$64^{-\frac{1}{3}}$
$343^{\frac{1}{3}}$
Evaluate. Give your answers as fractions.
$\log_{8}\frac{1}{2}$
$\log_{625}5$
$\log_{32}\frac{1}{2}$
$\log_{243}\frac{1}{3}$
$\log_{729}\frac{1}{9}$
$\log_{16}\frac{1}{4}$
$\log_{8}2$
$\log_{25}5$
$\log_{100}10$
$\log_{343}\frac{1}{7}$
$\log_{125}5$
$\log_{16}4$
$\log_{4}\frac{1}{2}$
$\log_{49}\frac{1}{7}$
$\log_{81}\frac{1}{9}$
$\log_{256}\frac{1}{4}$
$\log_{36}6$
$\log_{64}2$