SOLUTION: please help me solve this equation: logx base 2 + log2 base x=2

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Question 141177: please help me solve this equation: logx base 2 + log2 base x=2
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
solve this equation: logx base 2 + log2 base x=2
log2/logx + logx/log2 = 2
(log2)^2 + (logx)^2 = 2(log2)(logx)
(logx)^2 -2(log2)(logx) +(log2)^2 = 0
Factor:
(logx-log2)^2 = 0
logx = log2 twice
x = 2 (twice)
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Cheers,
Stan H.