Question

5²n+2 ÷ 125 = 125
Find value


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Answer 1

Let's find:-

$\\ \:\:\:\:\:\:\tt\longmapsto \dfrac{5^2n+2}{125}=125$

$\\ \:\:\:\:\:\:\tt\longmapsto 5^2n+2=125\times 125$

$\\ \:\:\:\:\:\:\tt\longmapsto 25n+2=125\times 125$

$\\ \:\:\:\:\:\:\tt\longmapsto 25n+2=15625$

$\\ \:\:\:\:\:\:\tt\longmapsto 25n=15625-2$

$\\ \:\:\:\:\:\:\tt\longmapsto 25n=15623$

$\\ \:\:\:\:\:\:\tt\longmapsto n=\dfrac{15623}{25}$

$\\ \:\:\:\:\:\:\tt\longmapsto n=624.9$

$\\ \:\:\:\:\:\:\tt\longmapsto n=625(Approx)$