Question

(2/5)5*(25/4)3=(5/2)3x-2 ;then find the value of x​

Answer 1

Answer:

The value of X is $\frac{-28}{3}$.

Given:

$(\frac{2}{5})^5 \times (\frac{25}{4})^3 = (\frac{5}{2})^{3x-2}$

To find:

The value of x

Solution:

From the given,

The value of X can be determined by simplify the given equation.

Then,

$(\frac{2}{5})^5 \times (\frac{25}{4})^3 = (\frac{5}{2})^{3x-2}$

$(\frac{5}{2})^{-5} \times (\frac{5}{2})^{(2\times 3)} = (\frac{5}{2})^{3x-2}$

Taking$(\frac{5}{2})$ and equating the expression,

-5 $\times$ 6 = 3x – 2

-30 = 3x – 2

Finally it becomes,

-28 = 3x

x =$\frac{-28}{3}$

Answer 2

Answer:

Answer:

The value of X is \frac{-28}{3}

3

−28

.

Given:

(\frac{2}{5})^5 \times (\frac{25}{4})^3 = (\frac{5}{2})^{3x-2}(

5

2

)

5

×(

4

25

)

3

=(

2

5

)

3x−2

To find:

The value of x

Solution:

From the given,

The value of X can be determined by simplify the given equation.

Then,

(\frac{2}{5})^5 \times (\frac{25}{4})^3 = (\frac{5}{2})^{3x-2}(

5

2

)

5

×(

4

25

)

3

=(

2

5

)

3x−2

(\frac{5}{2})^{-5} \times (\frac{5}{2})^{(2\times 3)} = (\frac{5}{2})^{3x-2}(

2

5

)

−5

×(

2

5

)

(2×3)

=(

2

5

)

3x−2

Taking(\frac{5}{2})(

2

5

) and equating the expression,

-5 \times× 6 = 3x – 2

-30 = 3x – 2

Finally it becomes,

-28 = 3x

x =\frac{-28}{3}

3

−28

Step-by-step explanation:

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