which property of logarithms does this equation demonstrate? assume all expressions exist and are…

which property of logarithms does this equation demonstrate? assume all expressions exist and are well-defined.$log_{3}y + log_{3}z^{5} = log_{3}yz^{5}$change of base formulaproduct propertypower propertyquotient property

which property of logarithms does this equation demonstrate? assume all expressions exist and are well-defined.$log_{3}y + log_{3}z^{5} = log_{3}yz^{5}$change of base formulaproduct propertypower propertyquotient property

Answer

Brief Explanations:

The given equation shows the sum of two logarithms with the same base being rewritten as the logarithm of the product of their arguments. This matches the definition of the product property of logarithms, which states $\log_b m + \log_b n = \log_b (mn)$ for valid, well-defined logarithms.

Answer:

Product Property