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1. (a^m)(a^n)
2. (a^m)/(a^n)
3. [(a^m)]^n
4. (ab)^n
5. (a/b)^n
6. log (mn)
7. log (m/n)
8. log (m^k)
9. log (1)
10. log (10) **base=10**

a^(m-n)

Logarithm of the base

log (m) + log (n)

(a^n)(b^n)

Powers of quotients law

Product of products law

Powers of products law

Power of powers law

Quotient of powers law

Logarithmic zero property

a^(m+n)

1

k log (m)

Logarithmic product law

Logarithmic power law

log (m) - log (n)

a^(mn)

0

Logarithmic quotient law

(a^n)/(b^n)