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- \( a^m \times a^n = a^{m+n} \)
- \( \frac{a^m}{a^n} = a^{m-n} \)
- \( (ab)^n= a^n\times b^n\)
- \( (\frac{a}{b})^n = \frac{a^n}{b^n} \)
- \( (a^m)^n = a^{mn}\)
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- \( a > 0,\ a\ne 1 \ হলে\\ (i) \ \log{_a}1 = 0 ,\\ (ii) \ \log_a0 = 1\)
- \( \log_{a}(MNP) = \log_a M+ \log_a N+ \log_a P\)
- \( \log_a(M\pm N) = \log_a M \pm \log_a N\)
- \( \log_a \frac{M}{N} = \log_a M - log_a N \)
- \( \log_a M = \log_b M \times \log_a b \)