Math, asked by RinkiMandal, 6 hours ago

If 25 to the power (n - 1)+100=5 to the power 2n-1 , find the value of n​

Answers

Answered by murnalinikulkarn
2

Answer:

value of n=2

Step-by-step explanation:

Given,

25^{n-1}+100=5^{2 n-1}25n−1+100=52n−1

On grouping the powered terms we get,

100=5^{2 n-1}-25^{n-1}100=52n−1−25n−1

100=\frac{25^{n}}{5}-\frac{25^{n}}{25}100=525n−2525n

Taking 25^{n}25n as common we get,

100=25^{n} \times \frac{4}{25}100=25n×254

\frac{100 \times 25}{4}=25^{n}25^{2}=25^{n}4100×25=25n252=25n

n=2

So the value of n is 2  

Answered by binitaphukan166
1

Answer:

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