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  1. or download this
    sub log10{ log( $_[0] ) / log( 10 ) }

printf("%.16e\n", log10($_))
   for 1e2, 1e3, 1e4;
  2. or download this
    2.0000000000000000e+000
2.9999999999999996e+000
4.0000000000000000e+000