Question

if 4 to the power of x=1024, then x is equal to

Answer 1

Answer:

∴ x= 4√2

Step-by-step explanation:

x^4 = 1024

or, √(x²)² = √1024

or, x² = 32

or, √(x)² = √2×2×2×2×2

or, x= 2× 2 √2

∴x=4√2

Answer 2

Given:

$x^{4} =1024$

To Find:

We are asked to find the value of x

Solution:

Given that,

$x^{4}=1024$

$(x^{2}) ^{2}=1024$

On taking square root on both the side

$\sqrt{(x^{2}) ^{2} }=\sqrt{1024}$

$x^{2} =32$

Rewrite the above equation as,

$\sqrt{x^{2} } =\sqrt{2*2*2*2*2}$

or, $x=2*2*\sqrt{2}$

Thus, $x=4\sqrt{2}$

Hence the value of x is $4\sqrt{2}$

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