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.
$\log _{8}1=$
$\log _{2}16=$
$\log _{5}625=$
$\log _{5}1=$
$\log _{9}1=$
$\log _{8}64=$
$\log _{6}36=$
$\log _{8}8=$
$\log _{6}6=$
$\log _{5}125=$
$\log _{4}256=$
$\log _{2}2=$
$\log1000=$
$\log _{2}4=$
$\log _{8}512=$
$\log _{6}216=$
$\log _{9}9=$
$\log _{7}343=$
$\log10000=$
$\log _{9}729=$
$\log _{2}8=$
$\log _{7}1=$
$\log _{5}5=$
$\log _{7}7=$
Evaluate. Give your answers as fractions.
$6^{-2}$
$3^0$
$2^{-2}$
$9^{-3}$
$9^{-2}$
$2^{-3}$
$3^{-3}$
$2^{-4}$
Evaluate.
$\log _{2}\frac{1}{64}=$
$\log _{8}\frac{1}{512}=$
$\log _{7}\frac{1}{49}=$
$\log _{4}\frac{1}{16}=$
$\log _{6}\frac{1}{36}=$
$\log _{5}\frac{1}{125}=$
$\log _{8}1=$
$\log _{6}\frac{1}{216}=$
$\log _{5}\frac{1}{5}=$
$\log _{9}\frac{1}{729}=$
$\log1=$
$\log _{5}\frac{1}{25}=$
$\log _{5}1=$
$\log _{6}\frac{1}{6}=$
$\log _{4}\frac{1}{64}=$
$\log _{7}1=$
$\log _{2}\frac{1}{16}=$
$\log _{6}1=$
Evaluate. Give your answers as fractions.
$4^{\frac{1}{2}}$
$9^{-\frac{1}{2}}$
$16^{-\frac{1}{2}}$
$16^{-\frac{1}{4}}$
$4^{-\frac{1}{2}}$
$36^{\frac{1}{2}}$
$64^{-\frac{1}{3}}$
$27^{-\frac{1}{3}}$
Evaluate. Give your answers as fractions.
$\log_{1000}10$
$\log_{100}10$
$\log_{81}\frac{1}{3}$
$\log_{4}\frac{1}{2}$
$\log_{9}\frac{1}{3}$
$\log_{36}\frac{1}{6}$
$\log_{81}9$
$\log_{1000}\frac{1}{10}$
$\log_{4}2$
$\log_{256}\frac{1}{4}$
$\log_{27}3$
$\log_{81}3$
$\log_{32}2$
$\log_{8}2$
$\log_{343}\frac{1}{7}$
$\log_{32}\frac{1}{2}$
$\log_{729}9$
$\log_{8}\frac{1}{2}$