(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.
$\log _{2}16=$
$\log _{3}3=$
$\log100=$
$\log _{2}64=$
$\log _{6}216=$
$\log _{9}729=$
$\log _{7}1=$
$\log _{3}243=$
$\log _{6}1=$
$\log _{4}256=$
$\log _{3}81=$
$\log _{9}9=$
$\log _{2}8=$
$\log _{2}4=$
$\log _{3}27=$
$\log _{5}25=$
$\log _{9}1=$
$\log _{4}16=$
$\log _{3}1=$
$\log _{8}1=$
$\log _{4}64=$
$\log _{2}1=$
$\log _{9}81=$
$\log1000=$
Evaluate. Give your answers as fractions.
$6^{-1}$
$7^0$
$10^{-3}$
$2^{-5}$
$3^0$
$10^{-1}$
$2^{-2}$
$9^{-3}$
Evaluate.
$\log _{4}1=$
$\log\frac{1}{10}=$
$\log _{2}\frac{1}{8}=$
$\log _{9}\frac{1}{9}=$
$\log _{2}1=$
$\log _{9}\frac{1}{729}=$
$\log _{7}\frac{1}{49}=$
$\log _{2}\frac{1}{4}=$
$\log _{6}\frac{1}{36}=$
$\log\frac{1}{1000}=$
$\log _{9}\frac{1}{81}=$
$\log _{9}1=$
$\log _{7}\frac{1}{7}=$
$\log _{2}\frac{1}{64}=$
$\log\frac{1}{100}=$
Evaluate. Give your answers as fractions.
$1000^{\frac{1}{3}}$
$32^{\frac{1}{5}}$
$27^{\frac{1}{3}}$
$16^{\frac{1}{4}}$
$256^{\frac{1}{4}}$
$81^{-\frac{1}{2}}$
$125^{\frac{1}{3}}$
$125^{-\frac{1}{3}}$
Evaluate. Give your answers as fractions.
$\log_{32}\frac{1}{2}$
$\log_{9}\frac{1}{3}$
$\log_{36}6$
$\log_{9}3$
$\log_{49}\frac{1}{7}$
$\log_{625}5$
$\log_{100}\frac{1}{10}$
$\log_{16}\frac{1}{4}$
$\log_{256}4$
$\log_{16}2$
$\log_{8}2$
$\log_{729}9$
$\log_{81}\frac{1}{9}$
$\log_{64}\frac{1}{2}$
$\log_{625}\frac{1}{5}$