(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.
$\log _{5}5=$
$\log _{9}81=$
$\log _{5}1=$
$\log _{9}729=$
$\log _{2}1=$
$\log _{2}8=$
$\log _{7}343=$
$\log _{4}64=$
$\log _{6}1=$
$\log _{4}4=$
$\log _{3}27=$
$\log _{3}243=$
$\log _{4}256=$
$\log _{4}1=$
$\log _{3}1=$
$\log _{6}216=$
$\log10000=$
$\log _{3}3=$
$\log _{9}1=$
$\log _{8}64=$
$\log _{8}512=$
$\log _{6}36=$
$\log1000=$
$\log _{9}9=$
Evaluate. Give your answers as fractions.
$5^{-3}$
$9^{-2}$
$10^{-1}$
$3^{-4}$
$7^{-1}$
$8^{-3}$
$5^0$
$4^{-1}$
Evaluate.
$\log _{4}\frac{1}{16}=$
$\log _{3}\frac{1}{81}=$
$\log _{2}\frac{1}{8}=$
$\log _{4}\frac{1}{4}=$
$\log _{8}1=$
$\log _{5}1=$
$\log _{8}\frac{1}{512}=$
$\log _{2}1=$
$\log _{2}\frac{1}{4}=$
$\log\frac{1}{1000}=$
$\log _{4}1=$
$\log _{6}\frac{1}{216}=$
$\log _{6}\frac{1}{6}=$
$\log\frac{1}{10}=$
$\log\frac{1}{100}=$
Evaluate. Give your answers as fractions.
$125^{-\frac{1}{3}}$
$729^{\frac{1}{3}}$
$32^{-\frac{1}{5}}$
$4^{-\frac{1}{2}}$
$1000^{-\frac{1}{3}}$
$243^{-\frac{1}{5}}$
$49^{-\frac{1}{2}}$
$512^{-\frac{1}{3}}$
Evaluate. Give your answers as fractions.
$\log_{27}\frac{1}{3}$
$\log_{125}5$
$\log_{16}\frac{1}{4}$
$\log_{16}4$
$\log_{4}2$
$\log_{100}\frac{1}{10}$
$\log_{25}\frac{1}{5}$
$\log_{81}9$
$\log_{36}\frac{1}{6}$
$\log_{243}\frac{1}{3}$
$\log_{8}2$
$\log_{216}\frac{1}{6}$
$\log_{729}9$
$\log_{1000}10$
$\log_{8}\frac{1}{2}$