Question

Find the value of x:5²x+¹=5³×625​

Answer 1

Answer:

If 5

2x−1

=1/(125)

x−3

, find x.

Let us simplify the given expression,

5

2x−1

=1/(5

3

)

x−3

5

2x−1

=1/5

3x−9

5

2x−1

=5

3x+9

Now by comparing the powers, we get

2x−1=−3x+9

2x+3x=9+1

6x=10

x=10/5

=2