How do you write the Product property of logarithms, Quotient property of logarithms, Power property of logarithms, Inverse properties of logarithms and exponential, and Change of Base formula, in exponential form.

\(\log() \text{ refers to any base, while }\\ \ln() \text{ refers specifically to base }e\\ \log(ab) = \log(a) + \log(b)\\ \log\left(\dfrac a b\right) = \log(a) - \log(b)\\ \log(a^b) = b \log(a)\\ e^{\ln(a)}= a\\ \ln(e^a) = a\\ \log_a(x) = \dfrac{\log(x)}{\log(a)}\)