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)

Algebra ->  Polynomials-and-rational-expressions -> 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)      Log On


   



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) About Me  (Show Source):
You can put this solution on YOUR website!
log[base a]x+log[base a](x-2)=log [base a](x+4)
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loga[x(x-2)] = loga(x+4)
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x^2-2x = x+4
x^2-3x-4 = 0
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Factor:
(x-4)(x+1) = 0
Positive solution:
x = 4
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Cheers,
Stan H.
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