Question

Find the nimber of digits in 25 square using logs

Answer 1

Answer:

3

Step-by-step explanation:

Given that: 25^2

Let 25^2 =x

taking logarithms on both sides

log 25^2= log x

log (5^2)^2= log x

log 5^4=logx. [(a^m)^n=a ^mn]

4log 5=logx [loga^m= mloga]

4×0.6990=logx

2.796=logx

the characteristic is 2 then the number of digits a

is 2+1=3