Question

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

Answer 1

Answer:

$\ln(\frac{x^3}{y^8})$

Step-by-step 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:

$\ln(\frac{x^3}{y^8})$