Question

The base 10 log table shows that the value of log10^50 is about 1.69897. explain or show why it makes sence that the value is between 1 and 2

Answer 1

Explanation:

Given

`\log _(10)\ 50=1.69897`

and we know that

`\log _a\ a=1`

therefore

`\Rightarrow \log _(10)\ 10=1`

and
`\Rightarrow \log _(10)\ 100=\log _(10)\ 10^2=2`

and
`50` lies between
`10` and
`100` . So, its value must lie between
`1` and
`2`