Question

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

• A. 5
• B. 0
• C. 1
• D. 2

Answer 1

Answer:

D. 2

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

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

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

$5^m\times4=100$

 

$5 ^m = 25$

$5^m=5^2$

$m = 2$