Question

What is the first step in solving ln(x − 1) = ln6 − lnx for x?

Answer 1

Answer:

Option C - Simplify the right side using the "difference of two logs is the log of the quotient" property.

Step-by-step explanation:

Given : Expression $\ln (x-1)=\ln 6-\ln x$

To find : What is the first step in solving  the expression ?

Solution :

Expression $\ln (x-1)=\ln 6-\ln x$

Step 1 - Simplify the right side using the "difference of two logs is the log of the quotient" property.

i.e. $\ln a-\ln b=\ln(\frac{a}{b})$

Apply the first step we get,

$\ln (x-1)=\ln(\frac{6}{x})$

Therefore, Option C is correct.