Question

if 8 raise to the power x is equal to 4 / 2 raise to the power x then what is the value of x

Answer 1

8^x=4/2^x
2^3x*2^x=2^2
2^4x=2^2
comparing
4x=2
x=1/2
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Answer 2

Answer:

Value of x is 1/2.

Step-by-step explanation:

Given: $8^x=\frac{4}{2^x}$

To find: Value of x.

Consider,

$8^x=\frac{4}{2^x}$

$8^x=\frac{2^2}{2^x}$

$(2^3)^x=2^{2-x}$

$2^{3x}=2^{2-x}$

Now, by comparing

3x = 2 - x

3x + x = 2

4x = 2

x = 1/2

Therefore, Value of x is 1/2.