SOLUTION: ln(x − 5) + ln(x + 6) = 1
Algebra.Com
Question 1111530: ln(x − 5) + ln(x + 6) = 1
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
ln(x − 5) + ln(x + 6) = 1
we can write it as a single ln
ln((x-5)(x+6)) = 1
FOIL
ln(x^2+x-30) = 1
antilog,
x^2 + x - 30 = e
x^2 + x - 30 ~ 2.7183
x^2 + x - 30 - 2.7183 = 0
x^2 + x - 32.7183 = 0
using the quadratic formula, the positive solution
x = 5.2418
:
:
Check on calc ln(5.2418-5) + ln(5.2418+6) = .9999946 ~ 1
RELATED QUESTIONS
ln(x-5)+ln(x+6)=1 (answered by Alan3354)
ln x + ln (x+1)= ln... (answered by stanbon)
Write the expression as one logarithm.
3 ln x − 5 ln(1/y) − 4 ln(xy)
(answered by LinnW)
Solve the logarithmic or exponential equation.
ln(x +1) − ln(x − 2) = ln... (answered by jim_thompson5910)
ln(−8 − x) + ln 3 = ln(2 −... (answered by lynnlo)
ln(x-1)-ln(x+1)=ln(x+5) (answered by Edwin McCravy)
ln (x-6) + ln (x+1)= ln... (answered by MathLover1)
ln(x-5)+ln(x+1)=ln40 (answered by Fombitz)
ln (x+5) - ln (x-1) = ln... (answered by stanbon)