Question

25 to the power n-1+100=5​

Answer 1

Step-by-step explanation:

${25}^{n - 1+ 100} = 5 \\ {5}^{2(n - 1 + 100)} = 5 \\ when \: bases \: are \: equal \\ \: powers \: are \: equal \\ 2(n - 1 + 100) = 5 \\ n + 99 = \frac{5}{2} \\ n = \frac{5}{2} - 99 \\ n = \frac{5 - (2 \times 99)}{2} \\ n = \frac{5 - 198}{2} \\ n = \frac{ - 193}{2} \\ n = - 96.5$

Answer 2

Answer: N=29

Step-by-step explanation:

5²(n-1)+5²-2²=5

5²(n-1)=5-5²*2²

2n-2=-5²-2²

2n=-5²-2²+2

N=-5²-2²+2

—————

2

N=-5²-2² =>25+4

=29

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