SOLUTION: Solve the logarithmic equation. Express irriational solutions in exact form and as a decimal rounded o 3 decimal places. log[base a]x+log[base a](x-2)=log [base a](x+4)

Question 415753: Solve the logarithmic equation.
Express irriational solutions in exact form and as a decimal rounded o 3 decimal places.
log[base a]x+log[base a](x-2)=log [base a](x+4)
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
log[base a]x+log[base a](x-2)=log [base a](x+4)
----
loga[x(x-2)] = loga(x+4)
------
x^2-2x = x+4
x^2-3x-4 = 0
---
Factor:
(x-4)(x+1) = 0
Positive solution:
x = 4
====================
Cheers,
Stan H.
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