Question

Use properties of logarithms to condense the logarithmic expression. write the expression as a single logarithm whose coefficient is 1. where​ possible, evaluate logarithmic expressions. log(4x+5)-log(x)

Answer 1

`\log\left( (4x + 5)/(x) \right) = \log(4 + (5)/(x))`

Answer 2

We can use the quotient rule [
`\text{log}_a(x)/(y) = \text{log}_ax-\text{log}_ay` ] to simplify

`\text{log}(4x + 5) - \text{log}(x)\\\text{log}((4x+5)/(x))\\\text{log}(4+(5)/(x))`

Best of Luck!