Solve log base x of (x+1)=2 | Logarithmic Equation leading to Quadratic Equation | logarithm

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In this video, We will be solving Logarithmic Equation leading to Quadratic Equation, log base x of (x+1)=2, Find x

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I've watched so many of these I recognize the golden ratio as soon as x**2 - x - 1 = 0 appears.

RobG
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take x^ on both sides:
1 + x = x^2
=> x = (1 +/- sqrt(5))/2

rob
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Here is mistake -1will be instead of 1. according to quad formula

gautamanand