Question

if 64^x =16/4^x find the value of x​

Answer 1

Answer:

Step-by-step explanation:

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Answer 2

The value of x = 1/2.

Given:

6$4^{x}$  = 16/$4^{x}$

To Find:

The value of x.

Solution:

We have been given that

6$4^{x}$  = 16/$4^{x}$

⇒  (64 x 4)^x = 16

⇒ (256)^x = 16

We know that 16² = 256. Hence the above equation becomes,

1$6^{2x}$ = 1$6^{1}$

Comparing the powers on both sides, we have

2x = 1

⇒ x = 1/2

Hence, the value of x which satisfies 6$4^{x}$  = 16/$4^{x}$ is x = 1/2.

∴ The value of x = 1/2.

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