If $ 5 ^{m + 1 } - 5 ^m = 100 $, then what is the value of m?

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$5 ^{m + 1 } - 5 ^m = 100$ ആയാൽ m എത്ര?

Answer:

$5 ^{m + 1 } - 5 ^m = 100$

$5^m\times5^1 - 5^m\times1 = 100$

$5 ^{m} \times(5-1)= 100$

$5^m\times4=100$

$5 ^m = 25$

$m = 2$

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