Question 795913
ln(x+1)-ln(x) = ln(4)
Add ln(x) to both sides
ln(x+1)= ln(4) + ln(x)
Which is
ln(x+1)= ln(4x)
find the e^x of both sides 
x + 1 = 4x
1 = 4x - x
1 = 3x
x = {{{1/3}}}
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you can confirm this with you calc, replace x with .3333 in the original problem
find ln of each