Question

If 52−1 = 25−1 + 100, find the value of 31 +

Answer 1

Easy

ANSWER

52x−2=52x−1−100

shift  52x−2 to the left hand side

Now, Multiply the equation with -1

52x−1−52x−2=100

52x−2(5−1)=100

52x−2=4100

25x−1=25               ( ∵ 52x−2=(52)x−1)

now,

x−1=1

x=2