Question

Expand the following to sums and differences of logs : ln((5x(x^(3)+4))/(x^(4)))

Answer 1

To expand the given expression to sums and differences of logs, use the properties of logarithms: ln(5x) + ln(x^(3)+4) - 4ln(x)

Step-by-step explanation:

To expand the expression ln((5x(x^(3)+4))/(x^(4))), we can use the properties of logarithms. First, let's rewrite the expression using the properties of exponents:

ln(5x) + ln(x^(3)+4) - ln(x^(4))

Now we can simplify the expression using the properties of logarithms:

ln(5x) + ln(x^(3)+4) - 4ln(x)

This is the expanded form of the original expression.