Question

2^{n} *5^{n-1}=2000 calculati valoarea lui n

Answer 1

${2}^{n} \times {5}^{n - 1} = 2000$

${2}^{n} \times {5}^{n - 1} = {2}^{4} \times {5}^{3}$

${2}^{n} = {2}^{4} = > n = 4$

${5}^{n - 1} = {5}^{3} = > n - 1 = 3 = > n = 3 + 1 = > n = 4$