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.
ln x + ln 19
ln x + ln 19 = \square

Explanation:

Step1: Recall log addition property

The property of logarithms for addition is $\ln a + \ln b = \ln(ab)$.

Step2: Apply the property

Here, $a = x$ and $b = 19$, so $\ln x + \ln 19 = \ln(x \times 19)=\ln(19x)$.

Answer:

$\ln(19x)$