Question Prompt: Question prompt: What is the condensed form of the logarithm expression given by "loga+zlogg"?
Recognize Properties: Recognize the properties of logarithms that can be used to condense the expression. The property that allows us to combine two logarithms with the same base and a multiplication between their arguments when they are being added is the product property of logarithms: logb(m)+logb(n)=logb(m∗n).
Apply Product Property: Apply the product property to the given logarithmic expression.We have loga+zlogg, which can be rewritten using the product property as log(a∗gz).
Check for Simplifications: Check for any possible simplifications. In this case, there are no further simplifications that can be made to the expression log(a⋅gz).
More problems from Convert between exponential and logarithmic form