Question

5 power 2x × 5 power 5 = 5 power 27 find the x value

Answer 1

A N S W E R :

we have to find the value of x if

$(\frac{3}{5})^x\times (\frac{5}{3})^{2x}=\frac{125}{27} \\ \\ The equation is \\ \\ (\frac{3}{5})^x\times (\frac{5}{3})^{2x}=\frac{125}{27}) \\ \\ (\frac{5}{3})^{-x}\times (\frac{5}{3})^{2x}=\frac{125}{27}( \\ \\ (\frac{5}{3})^{x}=(\frac{5}{3})^3$

Comparing, we get

x=3

The value of x is 3 i.e x=3

Answer 2

Answer:

We have,

5

x−3

×3

2x−8

=225

5

3

5

x

×

3

8

3

2x

=225

5

x

×3

2x

=25×9×5

3

×3

8

5

x

×3

2x

=5

2

×3

2

×5

3

×3

8

5

x

×3

2x

=5

5

×3

10

5

x

×3

2x

=5

5

×3

2×5

So, x=5

Hence, the value of x is 5.