Question

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

Answer 1

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

Hope this helps.

Answer 2

`ln(x - 1) = ln((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((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((6)/(x))`

`ln(x - 1) = ln((6)/(x))`

This is the first step in solving the given equation