log(x^2)(2x+1)=ln根号下e

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log(x^2)(2x+1)=ln根号下elog(x^2)(2x+1)=ln根号下elog(x^2)(2x+1)=ln根号下e2x+1>0(1)log(x^2)(2x+1)=1/2(x^2)^(1/2

log(x^2)(2x+1)=ln根号下e
log(x^2)(2x+1)=ln根号下e

log(x^2)(2x+1)=ln根号下e
2x + 1 > 0 (1)
log(x^2) (2x+1) = 1/2
(x^2)^(1/2) = (2x+1)
±x = 2x + 1
x1 = - 1/3
x2 = - 1/2 (不符合(1)式,舍弃)
所以,方程的解为 x = -1/3 .

log(x^2)(2x+1)=In√e
所以 log(x^2)(2x+1)= -1/2Ine
于是log(x^2)(2x+1)
所以x^2*-1/2=2x+1
所以x^2-2x+1=2.5
(x-1)(x-1)=2.5
所以x=√2.5 +/- 1