Question

1
(i) If${5}^{2x - 1} \: = \: 1 \div {(125)}^{x - 3}$find x

​

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

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