(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.
$\log _{6}36=$
$\log _{5}625=$
$\log _{3}243=$
$\log _{2}64=$
$\log _{9}1=$
$\log _{2}8=$
$\log _{5}125=$
$\log _{4}16=$
$\log _{4}4=$
$\log _{9}729=$
$\log _{6}6=$
$\log _{7}49=$
$\log _{6}1=$
$\log _{2}16=$
$\log1000=$
$\log _{3}27=$
$\log _{3}9=$
$\log _{4}256=$
$\log _{8}512=$
$\log _{6}216=$
$\log _{8}1=$
$\log _{8}8=$
$\log _{4}64=$
$\log _{5}5=$
Evaluate. Give your answers as fractions.
$7^{-3}$
$10^{-3}$
$2^{-3}$
$10^{-1}$
$2^{-2}$
$7^{-1}$
$9^{-2}$
$2^{-1}$
Evaluate.
$\log _{6}1=$
$\log _{5}\frac{1}{25}=$
$\log _{5}\frac{1}{5}=$
$\log _{2}\frac{1}{32}=$
$\log _{4}\frac{1}{64}=$
$\log _{3}\frac{1}{243}=$
$\log _{6}\frac{1}{36}=$
$\log _{2}1=$
$\log _{5}\frac{1}{125}=$
$\log _{3}\frac{1}{27}=$
$\log _{7}1=$
$\log _{2}\frac{1}{4}=$
$\log _{2}\frac{1}{8}=$
$\log _{9}\frac{1}{729}=$
$\log _{7}\frac{1}{343}=$
Evaluate. Give your answers as fractions.
$16^{\frac{1}{2}}$
$216^{\frac{1}{3}}$
$625^{\frac{1}{4}}$
$64^{\frac{1}{6}}$
$64^{-\frac{1}{3}}$
$4^{\frac{1}{2}}$
$32^{-\frac{1}{5}}$
$343^{-\frac{1}{3}}$
Evaluate. Give your answers as fractions.
$\log_{343}7$
$\log_{125}5$
$\log_{216}6$
$\log_{49}\frac{1}{7}$
$\log_{625}\frac{1}{5}$
$\log_{32}\frac{1}{2}$
$\log_{16}\frac{1}{2}$
$\log_{25}\frac{1}{5}$
$\log_{64}\frac{1}{4}$
$\log_{64}\frac{1}{8}$
$\log_{512}8$
$\log_{36}6$
$\log_{100}10$
$\log_{64}2$
$\log_{16}2$