Question

If 3^x + 64 = 2^6 + (√3)^8 , find the value of x

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Answer 1

Answer:

X will be 48 so X will be 48 and your answer will be 48

Answer 2

The value of x is equal to 4.

Step-by-step explanation:

We have,

$3^x+64=2^6+(\sqrt{3})^8$

To find, the value of x = ?

∴ $3^x+64=2^6+(\sqrt{3})^8$

⇒ $3^x+64=64+(\sqrt{3})^8$

⇒ $3^x=(\sqrt{3})^8$

⇒$(\sqrt{3}^2)^x=(\sqrt{3})^8$

⇒ $\sqrt{3}^{2x}=(\sqrt{3})^8$

Using the exponential identity,

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

⇒ $\sqrt{3}^{2x}=(\sqrt{3})^8$

Comparing the powers of $\sqrt{3}$, we get

⇒ 2x = 8

⇒ x = $\dfrac{8}{2}$ = 4

∴ The value of x = 4

Thus, the value of x is equal to 4.