(9.2) 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.
$\log _{8}512=$
$\log _{5}625=$
$\log _{3}1=$
$\log _{6}1=$
$\log _{7}1=$
$\log _{2}1=$
$\log _{4}64=$
$\log _{2}4=$
$\log _{3}3=$
$\log _{9}729=$
$\log _{7}7=$
$\log _{8}1=$
$\log _{3}27=$
$\log1000=$
$\log _{3}9=$
$\log _{7}49=$
$\log10000=$
$\log _{2}2=$
$\log _{2}64=$
$\log _{8}8=$
$\log _{5}1=$
$\log _{6}6=$
$\log _{9}1=$
$\log _{2}32=$
Evaluate. Give your answers as fractions.
$2^{-4}$
$9^0$
$8^{-3}$
$7^{-2}$
$6^{-3}$
$2^{-1}$
$2^{-5}$
$5^0$
Evaluate.
$\log _{4}\frac{1}{256}=$
$\log _{5}\frac{1}{125}=$
$\log _{5}\frac{1}{5}=$
$\log _{4}1=$
$\log _{3}\frac{1}{27}=$
$\log _{3}\frac{1}{9}=$
$\log _{8}\frac{1}{64}=$
$\log _{5}\frac{1}{25}=$
$\log _{2}\frac{1}{32}=$
$\log _{2}\frac{1}{8}=$
$\log _{3}\frac{1}{3}=$
$\log\frac{1}{1000}=$
$\log _{7}\frac{1}{343}=$
$\log _{6}\frac{1}{216}=$
$\log\frac{1}{100}=$
Evaluate. Give your answers as fractions.
$729^{\frac{1}{3}}$
$64^{-\frac{1}{2}}$
$9^{-\frac{1}{2}}$
$27^{\frac{1}{3}}$
$64^{-\frac{1}{6}}$
$256^{\frac{1}{4}}$
$4^{-\frac{1}{2}}$
$625^{\frac{1}{4}}$
Evaluate. Give your answers as fractions.
$\log_{64}2$
$\log_{256}4$
$\log_{8}2$
$\log_{243}\frac{1}{3}$
$\log_{125}\frac{1}{5}$
$\log_{36}6$
$\log_{25}\frac{1}{5}$
$\log_{81}9$
$\log_{64}8$
$\log_{81}3$
$\log_{64}\frac{1}{8}$
$\log_{216}\frac{1}{6}$
$\log_{100}10$
$\log_{64}4$
$\log_{1000}\frac{1}{10}$