Question

If \(2^x=8^2\) then \(x=?\)

• A. 2
• B. 4
• C. 6
• D. 8

Answer 1

The Correct Option is C

To solve this problem, we need to find the value of \( x \) that satisfies the equation:
\( 2^x = 8^2 \)

1. Express Both Sides with the Same Base:
We know that \( 8 = 2^3 \), so we can rewrite \( 8^2 \) as:

\( 8^2 = (2^3)^2 = 2^{3 \times 2} = 2^6 \)

2. Equating Powers of the Same Base:
Now we equate the exponents since the bases are the same:

\( 2^x = 2^6 \Rightarrow x = 6 \)

Final Answer:
The correct option is (C) 6.