Question

Find the value of :
(3/5)∧4x+1=((3/5)∧3)∧3

Answer 1

Step-by-step explanation:

Hope it works.........

Answer 2

The value of x = 2

Step-by-step explanation:

We have,

$(\dfrac{3}{5})^{4x+1}=[(\dfrac{3}{5})^{3}]^{3}$

To find, the value of x = ?

∴ $(\dfrac{3}{5})^{4x+1}=[(\dfrac{3}{5})^{3}]^{3}$

⇒ $(\dfrac{3}{5})^{4x+1}=[(\dfrac{3}{5})^{3\times 3}]$

Using the identity,

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

⇒ $(\dfrac{3}{5})^{4x+1}=(\dfrac{3}{5})^{9}$

Base are same, the power is also equal

4x + 1 = 9

⇒ 4x = 9 - 1 = 8

⇒ $x=\dfrac{8}{4} =2$

∴ x = 2

Thus, the value of x = 2