SOLUTION: Solve the equation.
logbase6(x − 5) + logbase6(x) = 2
I know you can bring them together to get logbase6(x(x-5))=2
but then I'm stuck..
Algebra ->
Exponential-and-logarithmic-functions
-> SOLUTION: Solve the equation.
logbase6(x − 5) + logbase6(x) = 2
I know you can bring them together to get logbase6(x(x-5))=2
but then I'm stuck..
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Question 951876: Solve the equation.
logbase6(x − 5) + logbase6(x) = 2
I know you can bring them together to get logbase6(x(x-5))=2
but then I'm stuck.. Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! Solve the equation.
logbase6(x − 5) + logbase6(x) = 2
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log6[x(x-5)) = 2
--------
log = EXPONENT = 2
base = 6
result = x^2-5x
------
x^2-5x = 6^2
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x^2-5x-36 = 0
------
(x-9)(x+4) = 0
Positive solution::
x = 9
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Cheers,
Stan H.
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