SOLUTION: Determine the value(s) of x such that log_x(x−7)+log_x(x)=1. Separate multiple answers with a comma. (Hint: Consider the domain of a logarithmic function.) *underscore means

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Question 1000146: Determine the value(s) of x such that log_x(x−7)+log_x(x)=1. Separate multiple answers with a comma. (Hint: Consider the domain of a logarithmic function.)
*underscore means base for example log_4 means log base 4.
Thanks!

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Determine the value(s) of x such that log_x(x−7)+log_x(x)=1. Separate multiple answers with a comma. (Hint: Consider the domain of a logarithmic function.)
*underscore means base for example log_4 means log base 4.
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logx[x(x-7)] = 1
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x^2-7x = x
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x^2 - 8x = 0
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x(x-8) = 0
----
Acceptable answer:: x = 8
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Cheers,
Stan H.
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