log10^x-1/log10^x+1>0

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log10^x-1/log10^x+1>0log10^x-1/log10^x+1>0log10^x-1/log10^x+1>0log10^x-1/log10^x+1>0x-1/x+1>0(x^2+x-

log10^x-1/log10^x+1>0
log10^x-1/log10^x+1>0

log10^x-1/log10^x+1>0
log10^x-1/log10^x+1>0
x-1/x+1>0
(x^2+x-1)/x>0
[x+(1+√5)/2][x+(1-√5)/2]/x>0
∴-(1+√5)/2