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Mathematics and Logical Reasoning Quiz
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log 2x-5logx+6=0. then what is the value of x
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A
e^2 or e^3
💡 Explanation:
Assuming base e: let log(x) = t, so the equation becomes 2t - 5t + 6 = 0, giving t² - 5t + 6 = 0. This factors as (t-2)(t-3) = 0, so t = 2 or t = 3. Therefore x = e² or x = e³.