# Logarithm-3

### From Homeworkwiki

**Find the number of zeros between the decimal place and the first significant digit in 3 ^{-25}.**

**Solution:** Let x = 3^{-25}

log x = log 3^{-25} = - 25 (0.4771)

= - 11.9275

Taking antilogarithm

Therefore, x = ‾12.0725

Therefore, the number of zeros between the decimal place and the first significant digit = 11.