(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.
$\log _{6}6=$
$\log _{4}4=$
$\log _{4}256=$
$\log _{3}9=$
$\log _{4}16=$
$\log _{2}64=$
$\log _{5}125=$
$\log _{6}1=$
$\log _{2}16=$
$\log _{8}512=$
$\log _{3}243=$
$\log _{8}64=$
$\log _{5}1=$
$\log _{9}9=$
$\log _{2}2=$
$\log _{6}36=$
$\log _{3}1=$
$\log _{6}216=$
$\log _{7}49=$
$\log1000=$
$\log _{2}8=$
$\log _{9}1=$
$\log _{7}1=$
$\log _{5}625=$
Evaluate. Give your answers as fractions.
$2^{-3}$
$6^0$
$4^{-2}$
$2^{-2}$
$2^0$
$10^{-3}$
$4^0$
$2^{-5}$
Evaluate.
$\log _{8}1=$
$\log1=$
$\log _{6}\frac{1}{216}=$
$\log\frac{1}{1000}=$
$\log _{2}\frac{1}{4}=$
$\log _{6}\frac{1}{6}=$
$\log _{3}\frac{1}{243}=$
$\log _{6}\frac{1}{36}=$
$\log _{2}\frac{1}{32}=$
$\log _{2}\frac{1}{2}=$
$\log _{6}1=$
$\log _{5}1=$
$\log _{4}\frac{1}{4}=$
$\log _{3}\frac{1}{81}=$
$\log _{5}\frac{1}{625}=$
Evaluate. Give your answers as fractions.
$9^{\frac{1}{2}}$
$100^{-\frac{1}{2}}$
$625^{-\frac{1}{4}}$
$216^{\frac{1}{3}}$
$27^{-\frac{1}{3}}$
$16^{\frac{1}{4}}$
$243^{-\frac{1}{5}}$
$81^{-\frac{1}{2}}$
Evaluate. Give your answers as fractions.
$\log_{64}4$
$\log_{36}6$
$\log_{9}\frac{1}{3}$
$\log_{16}4$
$\log_{81}3$
$\log_{256}\frac{1}{4}$
$\log_{216}\frac{1}{6}$
$\log_{100}10$
$\log_{49}\frac{1}{7}$
$\log_{1000}\frac{1}{10}$
$\log_{16}2$
$\log_{216}6$
$\log_{4}\frac{1}{2}$
$\log_{343}7$
$\log_{4}2$