(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.
$\log10000=$
$\log _{2}2=$
$\log _{3}1=$
$\log _{8}512=$
$\log _{7}1=$
$\log _{2}32=$
$\log _{8}1=$
$\log _{4}4=$
$\log100=$
$\log _{6}36=$
$\log _{4}256=$
$\log _{4}16=$
$\log _{6}1=$
$\log _{2}64=$
$\log _{9}81=$
$\log _{2}4=$
$\log _{6}6=$
$\log _{5}1=$
$\log _{7}7=$
$\log _{7}343=$
$\log _{9}729=$
$\log _{3}81=$
$\log1000=$
$\log _{6}216=$
Evaluate. Give your answers as fractions.
$6^{-3}$
$2^{-5}$
$8^{-3}$
$3^{-1}$
$9^{-1}$
$6^0$
$9^0$
$2^{-3}$
Evaluate.
$\log _{9}\frac{1}{81}=$
$\log\frac{1}{1000}=$
$\log _{2}\frac{1}{64}=$
$\log _{5}\frac{1}{125}=$
$\log _{2}\frac{1}{4}=$
$\log _{3}1=$
$\log _{8}\frac{1}{512}=$
$\log _{9}\frac{1}{729}=$
$\log _{4}\frac{1}{256}=$
$\log _{3}\frac{1}{9}=$
$\log _{7}\frac{1}{7}=$
$\log _{4}\frac{1}{4}=$
$\log\frac{1}{100}=$
$\log _{8}1=$
$\log _{7}1=$
Evaluate. Give your answers as fractions.
$16^{-\frac{1}{4}}$
$625^{\frac{1}{4}}$
$125^{\frac{1}{3}}$
$25^{-\frac{1}{2}}$
$343^{\frac{1}{3}}$
$125^{-\frac{1}{3}}$
$8^{\frac{1}{3}}$
$9^{-\frac{1}{2}}$
Evaluate. Give your answers as fractions.
$\log_{9}3$
$\log_{512}8$
$\log_{729}9$
$\log_{81}\frac{1}{3}$
$\log_{4}\frac{1}{2}$
$\log_{81}3$
$\log_{256}4$
$\log_{16}\frac{1}{4}$
$\log_{81}9$
$\log_{27}\frac{1}{3}$
$\log_{4}2$
$\log_{512}\frac{1}{8}$
$\log_{343}7$
$\log_{64}2$
$\log_{36}\frac{1}{6}$