If a

^{m}= x , then m = log_{a}x.

*Properties :*1. log

_{x}x = 12. log

_{x}1 = 03. log

_{a}(xy) = log_{a}x + log_{a}y4. log

_{a}(x/y) = log_{a}x - log_{a}y5. log

_{a}x = 1/log_{x}a6. log

_{a}(x^{p}) = p(log_{a}x)7. log

_{a}x = log_{b}x/log_{b}a*Note :*Logarithms for base 1 does not exist.