SOLUTION: Consider the following equation. ln(x) + ln(x + 6) = 4 Solve the logarithmic equation algebraically

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Question 243066: Consider the following equation.
ln(x) + ln(x + 6) = 4
Solve the logarithmic equation algebraically

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
ln(x) + ln(x + 6) = 4
Solve the logarithmic equation algebraically
----------------------------
ln[x(x+6)] = 4
x^2+6x = e^4
---
x^2+6x-54.6 = 0
x = [-6 +- sqrt(36 - 4*-54.6)]/2
---
x = [-6 +- sqrt(254.39)/2
---
Positive solution:
x = [9.95]/2
---
x = 4.975
========================
Cheers,
Stan H.

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