(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.
$\log _{2}2=$
$\log _{2}32=$
$\log _{6}216=$
$\log100=$
$\log _{5}5=$
$\log _{5}1=$
$\log _{6}36=$
$\log _{3}81=$
$\log _{7}49=$
$\log _{2}8=$
$\log _{3}243=$
$\log _{9}81=$
$\log _{4}16=$
$\log _{5}125=$
$\log _{7}1=$
$\log _{9}729=$
$\log _{8}8=$
$\log _{5}625=$
$\log _{6}6=$
$\log _{4}1=$
$\log _{8}1=$
$\log _{3}1=$
$\log _{7}7=$
$\log _{8}64=$
Evaluate. Give your answers as fractions.
$10^{-2}$
$7^{-1}$
$4^{-1}$
$6^{-1}$
$8^{-3}$
$2^{-5}$
$4^{-2}$
$4^{-3}$
Evaluate.
$\log _{3}\frac{1}{81}=$
$\log _{8}\frac{1}{64}=$
$\log _{5}\frac{1}{625}=$
$\log _{3}\frac{1}{3}=$
$\log _{4}1=$
$\log\frac{1}{1000}=$
$\log _{7}\frac{1}{49}=$
$\log _{5}\frac{1}{25}=$
$\log _{6}\frac{1}{216}=$
$\log _{8}\frac{1}{8}=$
$\log _{2}\frac{1}{8}=$
$\log _{3}1=$
$\log _{5}\frac{1}{5}=$
$\log _{3}\frac{1}{27}=$
$\log1=$
Evaluate. Give your answers as fractions.
$729^{\frac{1}{3}}$
$81^{\frac{1}{2}}$
$49^{\frac{1}{2}}$
$343^{\frac{1}{3}}$
$81^{-\frac{1}{4}}$
$1000^{\frac{1}{3}}$
$16^{\frac{1}{2}}$
$16^{\frac{1}{4}}$
Evaluate. Give your answers as fractions.
$\log_{100}10$
$\log_{4}2$
$\log_{64}8$
$\log_{729}\frac{1}{9}$
$\log_{64}\frac{1}{4}$
$\log_{32}\frac{1}{2}$
$\log_{256}\frac{1}{4}$
$\log_{16}\frac{1}{4}$
$\log_{512}\frac{1}{8}$
$\log_{16}\frac{1}{2}$
$\log_{100}\frac{1}{10}$
$\log_{81}\frac{1}{9}$
$\log_{625}\frac{1}{5}$
$\log_{216}6$
$\log_{64}2$