Question

if 628÷25=5³x+¹ what is the value of x
​

Answer 1

Answer:

The value of x=2

Step-by-step explanation:

As per the question,

\begin{gathered} \frac{( < strong > 3x-1)^5 < /strong > }{ < strong > 25 < /strong > } = 125 \\ \\ (3x-1)^5 = 25 * 125 \\ \\ (3x-1)^5 = 5^2 * 5^3 \\ \\ (3x-1)^5 = 5^5 \\ \\ 3x-1 = 5 \\ \\ 3x = 6 \\ \\ < strong > x = 2 < /strong > . \end{gathered}

<strong>25</strong>

(<strong>3x−1)

5

</strong>

=125

(3x−1)

5

=25∗125

(3x−1)

5

=5

2

∗5

3

(3x−1)

5

=5

5

3x−1=5

3x=6

<strong>x=2</strong>.