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.
$\log _{6}1=$
$\log _{2}4=$
$\log100=$
$\log1000=$
$\log _{4}64=$
$\log _{5}625=$
$\log _{2}2=$
$\log _{9}729=$
$\log _{9}81=$
$\log _{7}343=$
$\log _{7}7=$
$\log _{3}81=$
$\log _{4}16=$
$\log _{3}3=$
$\log _{3}1=$
$\log _{7}49=$
$\log _{8}64=$
$\log _{2}16=$
$\log _{2}32=$
$\log10000=$
$\log _{3}27=$
$\log _{4}256=$
$\log _{2}1=$
$\log _{8}8=$
Evaluate. Give your answers as fractions.
$6^0$
$2^{-5}$
$5^{-1}$
$8^0$
$6^{-1}$
$7^{-1}$
$2^{-4}$
$8^{-1}$
Evaluate.
$\log _{2}\frac{1}{32}=$
$\log _{9}1=$
$\log _{3}1=$
$\log _{2}\frac{1}{4}=$
$\log _{6}\frac{1}{36}=$
$\log _{8}\frac{1}{64}=$
$\log _{9}\frac{1}{9}=$
$\log _{4}\frac{1}{16}=$
$\log _{8}1=$
$\log _{3}\frac{1}{27}=$
$\log _{6}\frac{1}{216}=$
$\log _{3}\frac{1}{243}=$
$\log _{2}1=$
$\log _{4}\frac{1}{256}=$
$\log _{7}\frac{1}{7}=$
$\log _{7}\frac{1}{49}=$
$\log _{5}\frac{1}{25}=$
$\log _{6}\frac{1}{6}=$
Evaluate. Give your answers as fractions.
$16^{\frac{1}{2}}$
$64^{-\frac{1}{2}}$
$81^{-\frac{1}{4}}$
$1000^{-\frac{1}{3}}$
$125^{-\frac{1}{3}}$
$64^{\frac{1}{6}}$
$64^{\frac{1}{3}}$
$9^{\frac{1}{2}}$
Evaluate. Give your answers as fractions.
$\log_{64}4$
$\log_{16}2$
$\log_{16}4$
$\log_{25}\frac{1}{5}$
$\log_{16}\frac{1}{4}$
$\log_{36}\frac{1}{6}$
$\log_{49}7$
$\log_{8}2$
$\log_{243}3$
$\log_{216}\frac{1}{6}$
$\log_{9}\frac{1}{3}$
$\log_{256}\frac{1}{4}$
$\log_{125}5$
$\log_{1000}\frac{1}{10}$
$\log_{4}2$
$\log_{1000}10$
$\log_{32}2$
$\log_{27}\frac{1}{3}$