(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.
$\log _{3}27=$
$\log _{4}16=$
$\log _{8}512=$
$\log _{2}4=$
$\log _{9}81=$
$\log _{2}8=$
$\log _{9}729=$
$\log _{6}6=$
$\log _{3}1=$
$\log _{9}1=$
$\log _{8}1=$
$\log _{2}1=$
$\log _{5}1=$
$\log _{8}64=$
$\log _{7}7=$
$\log _{3}3=$
$\log100=$
$\log _{3}243=$
$\log _{2}16=$
$\log _{3}81=$
$\log _{5}5=$
$\log _{2}2=$
$\log _{4}64=$
$\log _{5}25=$
Evaluate. Give your answers as fractions.
$6^{-2}$
$2^{-4}$
$3^{-1}$
$5^{-1}$
$3^0$
$3^{-2}$
$3^{-3}$
$8^{-2}$
Evaluate.
$\log _{8}1=$
$\log\frac{1}{1000}=$
$\log _{8}\frac{1}{512}=$
$\log1=$
$\log _{2}\frac{1}{2}=$
$\log _{9}\frac{1}{729}=$
$\log _{6}\frac{1}{216}=$
$\log _{4}1=$
$\log _{3}\frac{1}{27}=$
$\log _{2}\frac{1}{4}=$
$\log _{4}\frac{1}{16}=$
$\log _{7}\frac{1}{7}=$
$\log _{5}\frac{1}{125}=$
$\log _{9}1=$
$\log _{3}\frac{1}{81}=$
Evaluate. Give your answers as fractions.
$64^{\frac{1}{3}}$
$343^{-\frac{1}{3}}$
$256^{-\frac{1}{4}}$
$16^{\frac{1}{2}}$
$243^{-\frac{1}{5}}$
$36^{-\frac{1}{2}}$
$8^{\frac{1}{3}}$
$27^{\frac{1}{3}}$
Evaluate. Give your answers as fractions.
$\log_{512}8$
$\log_{81}\frac{1}{9}$
$\log_{81}9$
$\log_{243}3$
$\log_{125}5$
$\log_{36}\frac{1}{6}$
$\log_{64}2$
$\log_{25}\frac{1}{5}$
$\log_{8}\frac{1}{2}$
$\log_{64}\frac{1}{8}$
$\log_{27}\frac{1}{3}$
$\log_{32}2$
$\log_{256}4$
$\log_{8}2$
$\log_{64}\frac{1}{4}$