(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.
$\log _{3}9=$
$\log _{2}4=$
$\log _{5}125=$
$\log _{8}1=$
$\log _{8}8=$
$\log _{9}9=$
$\log1000=$
$\log _{5}625=$
$\log _{7}343=$
$\log _{6}6=$
$\log _{2}2=$
$\log _{5}5=$
$\log10000=$
$\log _{3}81=$
$\log _{6}216=$
$\log _{2}32=$
$\log _{4}4=$
$\log _{4}256=$
$\log _{8}64=$
$\log _{2}16=$
$\log _{9}1=$
$\log _{6}1=$
$\log _{6}36=$
$\log _{7}7=$
Evaluate. Give your answers as fractions.
$7^{-1}$
$2^{-4}$
$2^0$
$10^{-1}$
$3^{-4}$
$3^{-3}$
$3^{-1}$
$2^{-1}$
Evaluate.
$\log _{7}\frac{1}{343}=$
$\log _{9}\frac{1}{9}=$
$\log _{5}\frac{1}{125}=$
$\log _{4}\frac{1}{256}=$
$\log _{9}\frac{1}{729}=$
$\log _{7}\frac{1}{49}=$
$\log _{8}1=$
$\log _{9}1=$
$\log _{8}\frac{1}{8}=$
$\log _{6}\frac{1}{36}=$
$\log _{6}\frac{1}{216}=$
$\log _{4}\frac{1}{64}=$
$\log _{2}\frac{1}{16}=$
$\log _{6}1=$
$\log _{5}\frac{1}{25}=$
Evaluate. Give your answers as fractions.
$81^{-\frac{1}{2}}$
$100^{\frac{1}{2}}$
$32^{-\frac{1}{5}}$
$125^{-\frac{1}{3}}$
$16^{\frac{1}{4}}$
$729^{\frac{1}{3}}$
$16^{-\frac{1}{4}}$
$64^{-\frac{1}{2}}$
Evaluate. Give your answers as fractions.
$\log_{4}\frac{1}{2}$
$\log_{81}\frac{1}{3}$
$\log_{16}2$
$\log_{243}3$
$\log_{25}5$
$\log_{16}\frac{1}{2}$
$\log_{4}2$
$\log_{256}4$
$\log_{32}2$
$\log_{8}\frac{1}{2}$
$\log_{64}2$
$\log_{216}6$
$\log_{625}5$
$\log_{36}6$
$\log_{27}3$