The equation log x to base e + log 1+x to base e =0 can be written as
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log x to base e + log 1+x to base e =0
log x ( 1 +x ) to base e =0
e^0 = x ( 1 +x )
1 =x ( 1 +x )
1 = x + x²
x² + x -1 =0 ( answer )
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