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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)

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6 votes

\log\left( (4x + 5)/(x) \right) = \log(4 + (5)/(x))
User Tarnfeld
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7 votes

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!

User Fadomire
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