Exercise ID333

Algebra → Logarithm → Logarithm equations
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Evaluate the following expression:

x1+log10x=10x

x1+log10x=10 x/×log10 log10x1+log10x=log1010x 1+log10xlog10x=log1010x 1+log10xlog10x=log1010+log10x log10x=t 1+t×t=1+t t+t2=1+t t+t2-1-t=0 t2-1=0 t=±1 t1=1 t2=-1 log10x=1 x=101x=10 log10x=-1 x=10-1x=110
x101,10-1
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