Question

Write the expression as a single logarithm with a coefficient of 1.
3 ln x − 8 ln y

Answer 1

`\ln((x^3)/(y^8))`

Explanation:

`3 \ln(x)-8\ln(y)` is the given.

The instructions is to write as a single logarithm.

Let's use the power rule first:

`\ln(x^3)-\ln(y^8)`

Now we see the minus between the natural logs so we can use the quotient rule:

`\ln((x^3)/(y^8))`