What is avoid precision loss?

Some articles on precision, avoid precision loss:

X86 Extended Precision Format - Need For The 80-bit Format
... A notable example of the need for a minimum of 64 bits of precision in the significand of the extended precision format is the need to avoid precision loss when performing exponentiation on double precision values ... use in sequence to perform exponentiation using the equation In order to avoid precision loss, the intermediate results "log2 x" and "y log2 x" must be computed with much higher ... An IEEE 754 double precision value can be represented as where s is the sign of the exponent (either 0 or 1), E is the unbiased exponent which is an integer that ranges from 0 to 1023 ...

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