(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.
$\log _{7}7=$
$\log _{4}16=$
$\log _{5}625=$
$\log _{8}64=$
$\log _{3}27=$
$\log _{3}9=$
$\log _{3}81=$
$\log _{2}64=$
$\log _{6}1=$
$\log _{7}49=$
$\log _{2}32=$
$\log _{9}1=$
$\log _{2}8=$
$\log _{5}5=$
$\log _{2}1=$
$\log _{2}16=$
$\log1000=$
$\log _{9}81=$
$\log _{9}729=$
$\log _{2}4=$
$\log _{6}6=$
$\log _{2}2=$
$\log _{4}4=$
$\log _{3}3=$
Evaluate. Give your answers as fractions.
$10^{-1}$
$8^{-3}$
$2^{-2}$
$5^{-1}$
$4^0$
$7^0$
$9^{-3}$
$7^{-2}$
Evaluate.
$\log _{4}1=$
$\log _{5}\frac{1}{625}=$
$\log _{5}1=$
$\log _{7}\frac{1}{49}=$
$\log _{3}1=$
$\log _{9}\frac{1}{81}=$
$\log _{4}\frac{1}{64}=$
$\log _{4}\frac{1}{16}=$
$\log _{5}\frac{1}{25}=$
$\log _{5}\frac{1}{5}=$
$\log _{4}\frac{1}{4}=$
$\log _{9}\frac{1}{729}=$
$\log\frac{1}{10}=$
$\log _{2}\frac{1}{16}=$
$\log _{3}\frac{1}{81}=$
Evaluate. Give your answers as fractions.
$343^{\frac{1}{3}}$
$25^{-\frac{1}{2}}$
$64^{\frac{1}{6}}$
$1000^{\frac{1}{3}}$
$81^{\frac{1}{4}}$
$125^{\frac{1}{3}}$
$343^{-\frac{1}{3}}$
$32^{\frac{1}{5}}$
Evaluate. Give your answers as fractions.
$\log_{216}6$
$\log_{16}\frac{1}{2}$
$\log_{512}\frac{1}{8}$
$\log_{625}5$
$\log_{9}3$
$\log_{512}8$
$\log_{625}\frac{1}{5}$
$\log_{32}\frac{1}{2}$
$\log_{27}3$
$\log_{81}\frac{1}{9}$
$\log_{216}\frac{1}{6}$
$\log_{64}\frac{1}{4}$
$\log_{4}\frac{1}{2}$
$\log_{256}4$
$\log_{25}5$