(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.
$\log _{5}125=$
$\log _{8}1=$
$\log _{5}25=$
$\log _{9}9=$
$\log _{6}216=$
$\log _{3}9=$
$\log _{3}3=$
$\log _{3}1=$
$\log _{9}729=$
$\log10000=$
$\log _{2}8=$
$\log _{4}256=$
$\log _{3}243=$
$\log _{7}7=$
$\log _{8}512=$
$\log _{9}81=$
$\log _{6}1=$
$\log _{4}4=$
$\log _{6}36=$
$\log _{8}64=$
$\log _{2}2=$
$\log _{2}1=$
$\log _{4}64=$
$\log _{7}49=$
Evaluate. Give your answers as fractions.
$4^{-3}$
$10^{-3}$
$3^0$
$3^{-4}$
$2^0$
$4^0$
$5^{-1}$
$3^{-1}$
Evaluate.
$\log\frac{1}{10}=$
$\log _{8}1=$
$\log _{6}1=$
$\log _{6}\frac{1}{36}=$
$\log _{2}\frac{1}{64}=$
$\log _{2}\frac{1}{32}=$
$\log _{7}\frac{1}{7}=$
$\log _{3}\frac{1}{81}=$
$\log1=$
$\log _{9}\frac{1}{9}=$
$\log _{2}1=$
$\log _{6}\frac{1}{216}=$
$\log\frac{1}{1000}=$
$\log _{6}\frac{1}{6}=$
$\log _{8}\frac{1}{8}=$
Evaluate. Give your answers as fractions.
$25^{\frac{1}{2}}$
$64^{\frac{1}{3}}$
$1000^{-\frac{1}{3}}$
$512^{-\frac{1}{3}}$
$27^{-\frac{1}{3}}$
$81^{\frac{1}{4}}$
$729^{-\frac{1}{3}}$
$243^{-\frac{1}{5}}$
Evaluate. Give your answers as fractions.
$\log_{16}2$
$\log_{27}3$
$\log_{729}9$
$\log_{9}3$
$\log_{216}\frac{1}{6}$
$\log_{1000}10$
$\log_{81}9$
$\log_{8}\frac{1}{2}$
$\log_{25}5$
$\log_{16}\frac{1}{2}$
$\log_{64}8$
$\log_{81}\frac{1}{9}$
$\log_{243}\frac{1}{3}$
$\log_{100}\frac{1}{10}$
$\log_{100}10$