Complete question:
Simplify 1/2 log base 10 raise to 25 - 2 log base10 raise to 4 +log base 10 raise to 32 + log base 10 raise to 1
Answer:
the simplified expression is 1.
Explanation:
Given;

The above expression is simplified as follows;
![(1)/(2) log_(10)25 \ - \ 2log_(10)4 \ + \ \ log_(10)32 \ + \ \ log_(10)1 \\\\= log_(10)25^{(1)/(2) } \ - \ log_(10)4^2 \ + \ \ log_(10)32 \ + \ \ log_(10)1\\\\= log_(10) [\frac{25^{(1)/(2) } \ * \ 32 \ * 1}{4^2} ]\\\\= log _(10)[(5 \ * \ 32 \ * \ 1)/(16) ]\\\\= log _(10)[5 \ * \ 2 \ * \ 1]\\\\=log _(10)[10]\\\\= 1](https://img.qammunity.org/2022/formulas/mathematics/high-school/ns6l5dra4fvdnw98hky47eal4f3h15tu8h.png)
Thus, the simplified expression is 1.