422,284 views
25 votes
25 votes
Use the properties of logarithms to condense the following expression as much as possible, writing the answer as a single term with a coefficient and of 1. All exponents should be positive

Use the properties of logarithms to condense the following expression as much as possible-example-1
User Nate Vaughan
by
3.1k points

1 Answer

19 votes
19 votes

The given expression is:


\ln (z)+\ln (20)

The product property of logarithms states:


\ln (m\cdot n)=\ln (m)+\ln (n)

Then we can rewrite the expression as:


\ln (z)+\ln (20)=\ln (z\cdot20)

Thus, the condensed expression is ln(20z)

User SimonAx
by
3.1k points