Question 142208
ln(x)- ln(x+7) = -1
:
Same as
ln({{{x/(x+7)}}}) = -1
:
Find e^ of both sides
{{{x/(x+7)}}} = .36788
:
Multiply both sides by (x+7) and you have:
x = .36788(x+7)
:
x = .36788x + 2.5752
:
x -.36788x = 2.5752
:
.63212x = 2.5752
x = {{{2.5752/.63212}}}
x = 4.074
:
:
Check solution on calc: enter ln(4.074) - ln(11.074) = -.99997 ~ -1