(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.
$\log _{3}1=$
$\log100=$
$\log _{7}49=$
$\log _{4}256=$
$\log _{4}4=$
$\log _{6}216=$
$\log _{7}7=$
$\log _{9}1=$
$\log _{5}625=$
$\log _{4}16=$
$\log _{2}8=$
$\log _{8}8=$
$\log _{5}25=$
$\log _{8}1=$
$\log _{3}81=$
$\log _{2}4=$
$\log _{9}729=$
$\log10000=$
$\log _{6}6=$
$\log1000=$
$\log _{8}64=$
$\log _{3}3=$
$\log _{9}9=$
$\log _{2}32=$
Evaluate. Give your answers as fractions.
$2^{-2}$
$3^0$
$4^0$
$3^{-2}$
$5^{-1}$
$8^{-1}$
$2^{-4}$
$8^0$
Evaluate.
$\log _{5}\frac{1}{625}=$
$\log _{7}\frac{1}{7}=$
$\log _{2}\frac{1}{8}=$
$\log\frac{1}{100}=$
$\log _{9}\frac{1}{9}=$
$\log _{9}\frac{1}{729}=$
$\log _{7}\frac{1}{343}=$
$\log\frac{1}{1000}=$
$\log _{3}\frac{1}{27}=$
$\log _{3}\frac{1}{81}=$
$\log _{4}\frac{1}{64}=$
$\log _{4}\frac{1}{256}=$
$\log _{8}\frac{1}{64}=$
$\log _{3}\frac{1}{243}=$
$\log _{5}1=$
Evaluate. Give your answers as fractions.
$216^{\frac{1}{3}}$
$4^{\frac{1}{2}}$
$8^{-\frac{1}{3}}$
$64^{\frac{1}{3}}$
$256^{\frac{1}{4}}$
$49^{\frac{1}{2}}$
$16^{-\frac{1}{4}}$
$125^{\frac{1}{3}}$
Evaluate. Give your answers as fractions.
$\log_{27}3$
$\log_{81}\frac{1}{9}$
$\log_{4}2$
$\log_{4}\frac{1}{2}$
$\log_{243}\frac{1}{3}$
$\log_{343}7$
$\log_{32}2$
$\log_{625}5$
$\log_{343}\frac{1}{7}$
$\log_{8}\frac{1}{2}$
$\log_{100}10$
$\log_{1000}10$
$\log_{125}\frac{1}{5}$
$\log_{243}3$
$\log_{32}\frac{1}{2}$