6. Find the value of n in 251-1+100=52n-1
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hope you mean,
25n−1+100=52n−1
⟹52n−2+100=52n−1
⟹52n−15+100=52n−1
Let, 52n−1=t
∴t5+100=t
⟹4t5=100
⟹t=125
So, we get —
52n−1=53
⟹2n−1=3
⟹2n=4
⟹n=2
∴n=2
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