Question

25^2x-3=5^2x+5 find value of the x

Answer 1

i hope this is rytt ans

Answer 2

The value of x is equal to $\dfrac{11}{2}.$

Step-by-step explanation:

We have,

$25^{2x-3}=5^{2x+5}$

To find, the value of x = ?

∴ $25^{2x-3}=5^{2x+5}$

⇒ $5^2(^{2x-3})=5^{2x+5}$

⇒ $5^{2(2x-3)}=5^{2x+5}$    

⇒ $5^{4x-6)}=5^{2x+5}$        ......(1)

Using exponential formula,

$a^{m^{n}} =a^{mn}$

Equating the power of 5 in (1), we get

∴ $4x-6=2x+5$

⇒ $4x-2x=6+5$

⇒ $2x=11$

⇒ $x=\dfrac{11}{2}$

The value of x =$\dfrac{11}{2}$

Hence, the value of x is equal to $\dfrac{11}{2}.$