Question

Solve the above question​

Answer 1

Answer:

12

Step-by-step explanation:

= 8⁴ = 2^x

= (2³)⁴ = 2^x

= 2¹² = 2^x

= 12 = x

Answer 2

Answer :-

Value of x = 12.

Explanation :-

We are given with an expression and we have to find the value of x.

Let's Solve.

$\sf\large{ {8}^{4} = {2}^{x} }$

First, Convert 8 into powers of 2.

$\implies\sf\large{( {2 \times 2 \times 2)}^{4} = {2}^{ x} }$

$\implies\sf\large{{( {2}^{3} )}^{4} = {2}^{ x} }$

Use Law Of Exponents :- $\sf\large\red{{ ({a}^{n} )}^{m} = {a}^{m \times n} }$

$\implies\sf\large{ {2}^{12} = {2}^{ x} }$

As, The Bases are Same.

On Comparison, We get,

$\implies\textsf{\textbf{x = 12 }}$

Therefore, Value of x = 12.