(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.
$\log _{6}216=$
$\log _{4}64=$
$\log _{4}4=$
$\log _{3}27=$
$\log _{3}9=$
$\log _{5}25=$
$\log _{8}64=$
$\log _{2}32=$
$\log _{7}343=$
$\log _{8}8=$
$\log _{6}36=$
$\log _{8}1=$
$\log _{6}6=$
$\log _{4}1=$
$\log _{9}81=$
$\log _{8}512=$
$\log _{2}16=$
$\log _{7}1=$
$\log _{7}49=$
$\log _{6}1=$
$\log _{5}625=$
$\log _{3}3=$
$\log _{5}125=$
$\log _{2}1=$
Evaluate. Give your answers as fractions.
$5^0$
$2^{-3}$
$7^{-3}$
$7^{-2}$
$8^0$
$9^{-1}$
$4^{-1}$
$8^{-1}$
Evaluate.
$\log _{3}\frac{1}{9}=$
$\log _{3}\frac{1}{27}=$
$\log _{7}\frac{1}{49}=$
$\log _{5}\frac{1}{625}=$
$\log _{8}\frac{1}{64}=$
$\log _{5}1=$
$\log _{3}\frac{1}{81}=$
$\log _{4}\frac{1}{256}=$
$\log _{8}1=$
$\log _{2}\frac{1}{4}=$
$\log _{9}\frac{1}{729}=$
$\log _{6}1=$
$\log _{7}\frac{1}{343}=$
$\log _{4}\frac{1}{64}=$
$\log _{2}\frac{1}{64}=$
Evaluate. Give your answers as fractions.
$49^{\frac{1}{2}}$
$8^{\frac{1}{3}}$
$81^{-\frac{1}{4}}$
$343^{-\frac{1}{3}}$
$729^{\frac{1}{3}}$
$100^{-\frac{1}{2}}$
$625^{\frac{1}{4}}$
$243^{\frac{1}{5}}$
Evaluate. Give your answers as fractions.
$\log_{243}3$
$\log_{100}\frac{1}{10}$
$\log_{32}2$
$\log_{512}\frac{1}{8}$
$\log_{1000}10$
$\log_{81}3$
$\log_{25}5$
$\log_{64}2$
$\log_{16}2$
$\log_{27}3$
$\log_{64}4$
$\log_{125}\frac{1}{5}$
$\log_{64}8$
$\log_{25}\frac{1}{5}$
$\log_{100}10$