Question

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

Answer 1

Answer:

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

Step-by-step explanation:

$ln(x - 1) = ln6 - lnx$

To solve for x we need to simplify the ln

To simplify logarithmic function we use log property

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

we apply the same property on the right hand side of the given equation

$ln(x - 1) = ln6 - lnx$

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

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

This is the first step in solving the given equation

Answer 2

First step would be using this logarithm rule $\ln\left(\dfrac ab\right) = \ln(a) - \ln(b)$ on right side.

Hope this helps.